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Finding the Fourth Proportional to 6,605.40, 9,891.90 and 4,402.20

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Solution

The fourth proportional to 6,605.40, 9,891.90 and 4,402.20 is: 6,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.40 : 9,891.90 = 4,402.20 : x
  2. Step 2: Convert to fraction form
    6,605.40/9,891.90 = 4,402.20/x
  3. Step 3: Cross multiply
    6,605.40x = 9,891.90 × 4,402.20
  4. Step 4: Simplify right side
    6,605.40x = 43,546,122.18
  5. Step 5: Solve for x
    x = 43,546,122.18/6,605.40
  6. Step 6: Final answer
    x = 6,592.50

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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.