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Finding the Fourth Proportional to 5,702.73, 8,553.51 and 1,542.57

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Solution

The fourth proportional to 5,702.73, 8,553.51 and 1,542.57 is: 2,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.73 : 8,553.51 = 1,542.57 : x
  2. Step 2: Convert to fraction form
    5,702.73/8,553.51 = 1,542.57/x
  3. Step 3: Cross multiply
    5,702.73x = 8,553.51 × 1,542.57
  4. Step 4: Simplify right side
    5,702.73x = 13,194,387.92
  5. Step 5: Solve for x
    x = 13,194,387.92/5,702.73
  6. Step 6: Final answer
    x = 2,313.70

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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.