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Finding the Fourth Proportional to 5,342.71, 8,013.76 and 1,446.82

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Solution

The fourth proportional to 5,342.71, 8,013.76 and 1,446.82 is: 2,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.71 : 8,013.76 = 1,446.82 : x
  2. Step 2: Convert to fraction form
    5,342.71/8,013.76 = 1,446.82/x
  3. Step 3: Cross multiply
    5,342.71x = 8,013.76 × 1,446.82
  4. Step 4: Simplify right side
    5,342.71x = 11,594,468.24
  5. Step 5: Solve for x
    x = 11,594,468.24/5,342.71
  6. Step 6: Final answer
    x = 2,170.15

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1.5x scale

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.