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Finding the Fourth Proportional to 24,650.20, 36,969.82 and 7,116.20

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Solution

The fourth proportional to 24,650.20, 36,969.82 and 7,116.20 is: 10,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.20 : 36,969.82 = 7,116.20 : x
  2. Step 2: Convert to fraction form
    24,650.20/36,969.82 = 7,116.20/x
  3. Step 3: Cross multiply
    24,650.20x = 36,969.82 × 7,116.20
  4. Step 4: Simplify right side
    24,650.20x = 263,084,633.08
  5. Step 5: Solve for x
    x = 263,084,633.08/24,650.20
  6. Step 6: Final answer
    x = 10,672.72

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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.