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Finding the Fourth Proportional to 7,686.59, 10,600.39 and 5,702.09

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Solution

The fourth proportional to 7,686.59, 10,600.39 and 5,702.09 is: 7,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.59 : 10,600.39 = 5,702.09 : x
  2. Step 2: Convert to fraction form
    7,686.59/10,600.39 = 5,702.09/x
  3. Step 3: Cross multiply
    7,686.59x = 10,600.39 × 5,702.09
  4. Step 4: Simplify right side
    7,686.59x = 60,444,377.82
  5. Step 5: Solve for x
    x = 60,444,377.82/7,686.59
  6. Step 6: Final answer
    x = 7,863.61

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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.