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Finding the Fourth Proportional to 6,342.60, 9,468.06 and 5,565

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Solution

The fourth proportional to 6,342.60, 9,468.06 and 5,565 is: 8,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.60 : 9,468.06 = 5,565 : x
  2. Step 2: Convert to fraction form
    6,342.60/9,468.06 = 5,565/x
  3. Step 3: Cross multiply
    6,342.60x = 9,468.06 × 5,565
  4. Step 4: Simplify right side
    6,342.60x = 52,689,753.90
  5. Step 5: Solve for x
    x = 52,689,753.90/6,342.60
  6. Step 6: Final answer
    x = 8,307.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.