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Finding the Fourth Proportional to 6,635.68, 9,947.76 and 4,901.92

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Solution

The fourth proportional to 6,635.68, 9,947.76 and 4,901.92 is: 7,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.68 : 9,947.76 = 4,901.92 : x
  2. Step 2: Convert to fraction form
    6,635.68/9,947.76 = 4,901.92/x
  3. Step 3: Cross multiply
    6,635.68x = 9,947.76 × 4,901.92
  4. Step 4: Simplify right side
    6,635.68x = 48,763,123.70
  5. Step 5: Solve for x
    x = 48,763,123.70/6,635.68
  6. Step 6: Final answer
    x = 7,348.62

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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.