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Finding the Fourth Proportional to 6,711.52, 10,054.20 and 4,396

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Solution

The fourth proportional to 6,711.52, 10,054.20 and 4,396 is: 6,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.52 : 10,054.20 = 4,396 : x
  2. Step 2: Convert to fraction form
    6,711.52/10,054.20 = 4,396/x
  3. Step 3: Cross multiply
    6,711.52x = 10,054.20 × 4,396
  4. Step 4: Simplify right side
    6,711.52x = 44,198,263.20
  5. Step 5: Solve for x
    x = 44,198,263.20/6,711.52
  6. Step 6: Final answer
    x = 6,585.43

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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.