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Finding the Fourth Proportional to 6,471.91, 9,717.59 and 3,701.71

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Solution

The fourth proportional to 6,471.91, 9,717.59 and 3,701.71 is: 5,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.91 : 9,717.59 = 3,701.71 : x
  2. Step 2: Convert to fraction form
    6,471.91/9,717.59 = 3,701.71/x
  3. Step 3: Cross multiply
    6,471.91x = 9,717.59 × 3,701.71
  4. Step 4: Simplify right side
    6,471.91x = 35,971,657.28
  5. Step 5: Solve for x
    x = 35,971,657.28/6,471.91
  6. Step 6: Final answer
    x = 5,558.12

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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.