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Finding the Fourth Proportional to 6,686.92, 9,227.92 and 3,702.95

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Solution

The fourth proportional to 6,686.92, 9,227.92 and 3,702.95 is: 5,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.92 : 9,227.92 = 3,702.95 : x
  2. Step 2: Convert to fraction form
    6,686.92/9,227.92 = 3,702.95/x
  3. Step 3: Cross multiply
    6,686.92x = 9,227.92 × 3,702.95
  4. Step 4: Simplify right side
    6,686.92x = 34,170,461.71
  5. Step 5: Solve for x
    x = 34,170,461.71/6,686.92
  6. Step 6: Final answer
    x = 5,110.05

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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.