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Finding the Fourth Proportional to 4,966.52, 7,449.92 and 1,503.76

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Solution

The fourth proportional to 4,966.52, 7,449.92 and 1,503.76 is: 2,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.52 : 7,449.92 = 1,503.76 : x
  2. Step 2: Convert to fraction form
    4,966.52/7,449.92 = 1,503.76/x
  3. Step 3: Cross multiply
    4,966.52x = 7,449.92 × 1,503.76
  4. Step 4: Simplify right side
    4,966.52x = 11,202,891.70
  5. Step 5: Solve for x
    x = 11,202,891.70/4,966.52
  6. Step 6: Final answer
    x = 2,255.68

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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.