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Finding the Fourth Proportional to 6,622.61, 9,938.10 and 3,702.83

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Solution

The fourth proportional to 6,622.61, 9,938.10 and 3,702.83 is: 5,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.61 : 9,938.10 = 3,702.83 : x
  2. Step 2: Convert to fraction form
    6,622.61/9,938.10 = 3,702.83/x
  3. Step 3: Cross multiply
    6,622.61x = 9,938.10 × 3,702.83
  4. Step 4: Simplify right side
    6,622.61x = 36,799,045.13
  5. Step 5: Solve for x
    x = 36,799,045.13/6,622.61
  6. Step 6: Final answer
    x = 5,556.58

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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.