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Finding the Fourth Proportional to 17,711.48, 26,587.70 and 10,702.20

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Solution

The fourth proportional to 17,711.48, 26,587.70 and 10,702.20 is: 16,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.48 : 26,587.70 = 10,702.20 : x
  2. Step 2: Convert to fraction form
    17,711.48/26,587.70 = 10,702.20/x
  3. Step 3: Cross multiply
    17,711.48x = 26,587.70 × 10,702.20
  4. Step 4: Simplify right side
    17,711.48x = 284,546,882.94
  5. Step 5: Solve for x
    x = 284,546,882.94/17,711.48
  6. Step 6: Final answer
    x = 16,065.68

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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.