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Finding the Fourth Proportional to 36,262.10, 54,391.78 and 9,966.16

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Solution

The fourth proportional to 36,262.10, 54,391.78 and 9,966.16 is: 14,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262.10 : 54,391.78 = 9,966.16 : x
  2. Step 2: Convert to fraction form
    36,262.10/54,391.78 = 9,966.16/x
  3. Step 3: Cross multiply
    36,262.10x = 54,391.78 × 9,966.16
  4. Step 4: Simplify right side
    36,262.10x = 542,077,182.16
  5. Step 5: Solve for x
    x = 542,077,182.16/36,262.10
  6. Step 6: Final answer
    x = 14,948.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.