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Finding the Fourth Proportional to 22,754.16, 34,132.86 and 7,966.80

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Solution

The fourth proportional to 22,754.16, 34,132.86 and 7,966.80 is: 11,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.16 : 34,132.86 = 7,966.80 : x
  2. Step 2: Convert to fraction form
    22,754.16/34,132.86 = 7,966.80/x
  3. Step 3: Cross multiply
    22,754.16x = 34,132.86 × 7,966.80
  4. Step 4: Simplify right side
    22,754.16x = 271,929,669.05
  5. Step 5: Solve for x
    x = 271,929,669.05/22,754.16
  6. Step 6: Final answer
    x = 11,950.77

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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.