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Finding the Fourth Proportional to 9,906.52, 13,669.38 and 6,132.18

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Solution

The fourth proportional to 9,906.52, 13,669.38 and 6,132.18 is: 8,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.52 : 13,669.38 = 6,132.18 : x
  2. Step 2: Convert to fraction form
    9,906.52/13,669.38 = 6,132.18/x
  3. Step 3: Cross multiply
    9,906.52x = 13,669.38 × 6,132.18
  4. Step 4: Simplify right side
    9,906.52x = 83,823,098.65
  5. Step 5: Solve for x
    x = 83,823,098.65/9,906.52
  6. Step 6: Final answer
    x = 8,461.41

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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.