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Finding the Fourth Proportional to 10,252.20, 15,348.42 and 7,797

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Solution

The fourth proportional to 10,252.20, 15,348.42 and 7,797 is: 11,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.20 : 15,348.42 = 7,797 : x
  2. Step 2: Convert to fraction form
    10,252.20/15,348.42 = 7,797/x
  3. Step 3: Cross multiply
    10,252.20x = 15,348.42 × 7,797
  4. Step 4: Simplify right side
    10,252.20x = 119,671,630.74
  5. Step 5: Solve for x
    x = 119,671,630.74/10,252.20
  6. Step 6: Final answer
    x = 11,672.78

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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.