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Finding the Fourth Proportional to 25,177.70, 37,764.92 and 7,647.68

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Solution

The fourth proportional to 25,177.70, 37,764.92 and 7,647.68 is: 11,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.70 : 37,764.92 = 7,647.68 : x
  2. Step 2: Convert to fraction form
    25,177.70/37,764.92 = 7,647.68/x
  3. Step 3: Cross multiply
    25,177.70x = 37,764.92 × 7,647.68
  4. Step 4: Simplify right side
    25,177.70x = 288,814,023.39
  5. Step 5: Solve for x
    x = 288,814,023.39/25,177.70
  6. Step 6: Final answer
    x = 11,471.02

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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.