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Finding the Fourth Proportional to 6,702.71, 10,052.92 and 1,772.85

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Solution

The fourth proportional to 6,702.71, 10,052.92 and 1,772.85 is: 2,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.71 : 10,052.92 = 1,772.85 : x
  2. Step 2: Convert to fraction form
    6,702.71/10,052.92 = 1,772.85/x
  3. Step 3: Cross multiply
    6,702.71x = 10,052.92 × 1,772.85
  4. Step 4: Simplify right side
    6,702.71x = 17,822,319.22
  5. Step 5: Solve for x
    x = 17,822,319.22/6,702.71
  6. Step 6: Final answer
    x = 2,658.97

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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.