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Finding the Fourth Proportional to 34,414.65, 51,616.15 and 9,448.90

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Solution

The fourth proportional to 34,414.65, 51,616.15 and 9,448.90 is: 14,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.65 : 51,616.15 = 9,448.90 : x
  2. Step 2: Convert to fraction form
    34,414.65/51,616.15 = 9,448.90/x
  3. Step 3: Cross multiply
    34,414.65x = 51,616.15 × 9,448.90
  4. Step 4: Simplify right side
    34,414.65x = 487,715,687.07
  5. Step 5: Solve for x
    x = 487,715,687.07/34,414.65
  6. Step 6: Final answer
    x = 14,171.75

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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.