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Finding the Fourth Proportional to 6,685.92, 10,017 and 5,702.04

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Solution

The fourth proportional to 6,685.92, 10,017 and 5,702.04 is: 8,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.92 : 10,017 = 5,702.04 : x
  2. Step 2: Convert to fraction form
    6,685.92/10,017 = 5,702.04/x
  3. Step 3: Cross multiply
    6,685.92x = 10,017 × 5,702.04
  4. Step 4: Simplify right side
    6,685.92x = 57,117,334.68
  5. Step 5: Solve for x
    x = 57,117,334.68/6,685.92
  6. Step 6: Final answer
    x = 8,542.93

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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.