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Finding the Fourth Proportional to 9,744.60, 14,616.90 and 2,724.60

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Solution

The fourth proportional to 9,744.60, 14,616.90 and 2,724.60 is: 4,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.60 : 14,616.90 = 2,724.60 : x
  2. Step 2: Convert to fraction form
    9,744.60/14,616.90 = 2,724.60/x
  3. Step 3: Cross multiply
    9,744.60x = 14,616.90 × 2,724.60
  4. Step 4: Simplify right side
    9,744.60x = 39,825,205.74
  5. Step 5: Solve for x
    x = 39,825,205.74/9,744.60
  6. Step 6: Final answer
    x = 4,086.90

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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.