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Finding the Fourth Proportional to 4,471.60, 6,713.80 and 2,527.60

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Solution

The fourth proportional to 4,471.60, 6,713.80 and 2,527.60 is: 3,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.60 : 6,713.80 = 2,527.60 : x
  2. Step 2: Convert to fraction form
    4,471.60/6,713.80 = 2,527.60/x
  3. Step 3: Cross multiply
    4,471.60x = 6,713.80 × 2,527.60
  4. Step 4: Simplify right side
    4,471.60x = 16,969,800.88
  5. Step 5: Solve for x
    x = 16,969,800.88/4,471.60
  6. Step 6: Final answer
    x = 3,795.02

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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.