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Finding the Fourth Proportional to 10,716.60, 16,074.90 and 9,744.60

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Solution

The fourth proportional to 10,716.60, 16,074.90 and 9,744.60 is: 14,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.60 : 16,074.90 = 9,744.60 : x
  2. Step 2: Convert to fraction form
    10,716.60/16,074.90 = 9,744.60/x
  3. Step 3: Cross multiply
    10,716.60x = 16,074.90 × 9,744.60
  4. Step 4: Simplify right side
    10,716.60x = 156,643,470.54
  5. Step 5: Solve for x
    x = 156,643,470.54/10,716.60
  6. Step 6: Final answer
    x = 14,616.90

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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.