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Finding the Fourth Proportional to 9,744.10, 14,616.15 and 7,411.30

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Solution

The fourth proportional to 9,744.10, 14,616.15 and 7,411.30 is: 11,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.10 : 14,616.15 = 7,411.30 : x
  2. Step 2: Convert to fraction form
    9,744.10/14,616.15 = 7,411.30/x
  3. Step 3: Cross multiply
    9,744.10x = 14,616.15 × 7,411.30
  4. Step 4: Simplify right side
    9,744.10x = 108,324,672.50
  5. Step 5: Solve for x
    x = 108,324,672.50/9,744.10
  6. Step 6: Final answer
    x = 11,116.95

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Similar ratio
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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.