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Finding the Fourth Proportional to 6,571, 9,906.04 and 6,148.18

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Solution

The fourth proportional to 6,571, 9,906.04 and 6,148.18 is: 9,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571 : 9,906.04 = 6,148.18 : x
  2. Step 2: Convert to fraction form
    6,571/9,906.04 = 6,148.18/x
  3. Step 3: Cross multiply
    6,571x = 9,906.04 × 6,148.18
  4. Step 4: Simplify right side
    6,571x = 60,904,117.01
  5. Step 5: Solve for x
    x = 60,904,117.01/6,571
  6. Step 6: Final answer
    x = 9,268.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.