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Finding the Fourth Proportional to 24,573.96, 36,846.18 and 9,785.16

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Solution

The fourth proportional to 24,573.96, 36,846.18 and 9,785.16 is: 14,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.96 : 36,846.18 = 9,785.16 : x
  2. Step 2: Convert to fraction form
    24,573.96/36,846.18 = 9,785.16/x
  3. Step 3: Cross multiply
    24,573.96x = 36,846.18 × 9,785.16
  4. Step 4: Simplify right side
    24,573.96x = 360,545,766.69
  5. Step 5: Solve for x
    x = 360,545,766.69/24,573.96
  6. Step 6: Final answer
    x = 14,671.86

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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.