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Finding the Fourth Proportional to 9,573.64, 14,362.11 and 2,998.12

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Solution

The fourth proportional to 9,573.64, 14,362.11 and 2,998.12 is: 4,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.64 : 14,362.11 = 2,998.12 : x
  2. Step 2: Convert to fraction form
    9,573.64/14,362.11 = 2,998.12/x
  3. Step 3: Cross multiply
    9,573.64x = 14,362.11 × 2,998.12
  4. Step 4: Simplify right side
    9,573.64x = 43,059,329.23
  5. Step 5: Solve for x
    x = 43,059,329.23/9,573.64
  6. Step 6: Final answer
    x = 4,497.70

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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.