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Finding the Fourth Proportional to 9,359.91, 12,916.68 and 5,168.16

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Solution

The fourth proportional to 9,359.91, 12,916.68 and 5,168.16 is: 7,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.91 : 12,916.68 = 5,168.16 : x
  2. Step 2: Convert to fraction form
    9,359.91/12,916.68 = 5,168.16/x
  3. Step 3: Cross multiply
    9,359.91x = 12,916.68 × 5,168.16
  4. Step 4: Simplify right side
    9,359.91x = 66,755,468.91
  5. Step 5: Solve for x
    x = 66,755,468.91/9,359.91
  6. Step 6: Final answer
    x = 7,132.06

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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.