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Finding the Fourth Proportional to 9,612.72, 13,254.84 and 7,882.76

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Solution

The fourth proportional to 9,612.72, 13,254.84 and 7,882.76 is: 10,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.72 : 13,254.84 = 7,882.76 : x
  2. Step 2: Convert to fraction form
    9,612.72/13,254.84 = 7,882.76/x
  3. Step 3: Cross multiply
    9,612.72x = 13,254.84 × 7,882.76
  4. Step 4: Simplify right side
    9,612.72x = 104,484,755.70
  5. Step 5: Solve for x
    x = 104,484,755.70/9,612.72
  6. Step 6: Final answer
    x = 10,869.43

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.