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Finding the Fourth Proportional to 14,642.40, 21,959.46 and 7,251.24

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Solution

The fourth proportional to 14,642.40, 21,959.46 and 7,251.24 is: 10,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.40 : 21,959.46 = 7,251.24 : x
  2. Step 2: Convert to fraction form
    14,642.40/21,959.46 = 7,251.24/x
  3. Step 3: Cross multiply
    14,642.40x = 21,959.46 × 7,251.24
  4. Step 4: Simplify right side
    14,642.40x = 159,233,314.73
  5. Step 5: Solve for x
    x = 159,233,314.73/14,642.40
  6. Step 6: Final answer
    x = 10,874.81

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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.