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Finding the Fourth Proportional to 24,651.60, 36,977.40 and 7,123.20

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Solution

The fourth proportional to 24,651.60, 36,977.40 and 7,123.20 is: 10,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.60 : 36,977.40 = 7,123.20 : x
  2. Step 2: Convert to fraction form
    24,651.60/36,977.40 = 7,123.20/x
  3. Step 3: Cross multiply
    24,651.60x = 36,977.40 × 7,123.20
  4. Step 4: Simplify right side
    24,651.60x = 263,397,415.68
  5. Step 5: Solve for x
    x = 263,397,415.68/24,651.60
  6. Step 6: Final answer
    x = 10,684.80

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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.