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Finding the Fourth Proportional to 31,774.82, 47,662.22 and 10,998.32

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Solution

The fourth proportional to 31,774.82, 47,662.22 and 10,998.32 is: 16,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.82 : 47,662.22 = 10,998.32 : x
  2. Step 2: Convert to fraction form
    31,774.82/47,662.22 = 10,998.32/x
  3. Step 3: Cross multiply
    31,774.82x = 47,662.22 × 10,998.32
  4. Step 4: Simplify right side
    31,774.82x = 524,204,109.16
  5. Step 5: Solve for x
    x = 524,204,109.16/31,774.82
  6. Step 6: Final answer
    x = 16,497.47

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.