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Finding the Fourth Proportional to 6,688.71, 9,230.13 and 3,704.45

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Solution

The fourth proportional to 6,688.71, 9,230.13 and 3,704.45 is: 5,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.71 : 9,230.13 = 3,704.45 : x
  2. Step 2: Convert to fraction form
    6,688.71/9,230.13 = 3,704.45/x
  3. Step 3: Cross multiply
    6,688.71x = 9,230.13 × 3,704.45
  4. Step 4: Simplify right side
    6,688.71x = 34,192,508.93
  5. Step 5: Solve for x
    x = 34,192,508.93/6,688.71
  6. Step 6: Final answer
    x = 5,111.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.