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Finding the Fourth Proportional to 13,439.92, 18,537 and 9,462.16

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Solution

The fourth proportional to 13,439.92, 18,537 and 9,462.16 is: 13,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.92 : 18,537 = 9,462.16 : x
  2. Step 2: Convert to fraction form
    13,439.92/18,537 = 9,462.16/x
  3. Step 3: Cross multiply
    13,439.92x = 18,537 × 9,462.16
  4. Step 4: Simplify right side
    13,439.92x = 175,400,059.92
  5. Step 5: Solve for x
    x = 175,400,059.92/13,439.92
  6. Step 6: Final answer
    x = 13,050.68

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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.