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Finding the Fourth Proportional to 9,462.31, 13,057.47 and 5,213.22

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Solution

The fourth proportional to 9,462.31, 13,057.47 and 5,213.22 is: 7,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.31 : 13,057.47 = 5,213.22 : x
  2. Step 2: Convert to fraction form
    9,462.31/13,057.47 = 5,213.22/x
  3. Step 3: Cross multiply
    9,462.31x = 13,057.47 × 5,213.22
  4. Step 4: Simplify right side
    9,462.31x = 68,071,463.75
  5. Step 5: Solve for x
    x = 68,071,463.75/9,462.31
  6. Step 6: Final answer
    x = 7,193.96

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.