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Finding the Fourth Proportional to 10,524.60, 15,757.74 and 5,319.60

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Solution

The fourth proportional to 10,524.60, 15,757.74 and 5,319.60 is: 7,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.60 : 15,757.74 = 5,319.60 : x
  2. Step 2: Convert to fraction form
    10,524.60/15,757.74 = 5,319.60/x
  3. Step 3: Cross multiply
    10,524.60x = 15,757.74 × 5,319.60
  4. Step 4: Simplify right side
    10,524.60x = 83,824,873.70
  5. Step 5: Solve for x
    x = 83,824,873.70/10,524.60
  6. Step 6: Final answer
    x = 7,964.66

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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.