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Finding the Fourth Proportional to 6,411.74, 9,610.31 and 2,711.66

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Solution

The fourth proportional to 6,411.74, 9,610.31 and 2,711.66 is: 4,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.74 : 9,610.31 = 2,711.66 : x
  2. Step 2: Convert to fraction form
    6,411.74/9,610.31 = 2,711.66/x
  3. Step 3: Cross multiply
    6,411.74x = 9,610.31 × 2,711.66
  4. Step 4: Simplify right side
    6,411.74x = 26,059,851.94
  5. Step 5: Solve for x
    x = 26,059,851.94/6,411.74
  6. Step 6: Final answer
    x = 4,064.40

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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.