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Finding the Fourth Proportional to 9,468.71, 13,062.17 and 6,110.25

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Solution

The fourth proportional to 9,468.71, 13,062.17 and 6,110.25 is: 8,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.71 : 13,062.17 = 6,110.25 : x
  2. Step 2: Convert to fraction form
    9,468.71/13,062.17 = 6,110.25/x
  3. Step 3: Cross multiply
    9,468.71x = 13,062.17 × 6,110.25
  4. Step 4: Simplify right side
    9,468.71x = 79,813,139.52
  5. Step 5: Solve for x
    x = 79,813,139.52/9,468.71
  6. Step 6: Final answer
    x = 8,429.14

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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.