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Finding the Fourth Proportional to 24,569.76, 36,854.86 and 6,101.76

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Solution

The fourth proportional to 24,569.76, 36,854.86 and 6,101.76 is: 9,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,569.76 : 36,854.86 = 6,101.76 : x
  2. Step 2: Convert to fraction form
    24,569.76/36,854.86 = 6,101.76/x
  3. Step 3: Cross multiply
    24,569.76x = 36,854.86 × 6,101.76
  4. Step 4: Simplify right side
    24,569.76x = 224,879,510.55
  5. Step 5: Solve for x
    x = 224,879,510.55/24,569.76
  6. Step 6: Final answer
    x = 9,152.69

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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.