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Finding the Fourth Proportional to 24,650.76, 36,981 and 7,120.74

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Solution

The fourth proportional to 24,650.76, 36,981 and 7,120.74 is: 10,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.76 : 36,981 = 7,120.74 : x
  2. Step 2: Convert to fraction form
    24,650.76/36,981 = 7,120.74/x
  3. Step 3: Cross multiply
    24,650.76x = 36,981 × 7,120.74
  4. Step 4: Simplify right side
    24,650.76x = 263,332,085.94
  5. Step 5: Solve for x
    x = 263,332,085.94/24,650.76
  6. Step 6: Final answer
    x = 10,682.51

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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.