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Finding the Fourth Proportional to 24,385.64, 36,578.46 and 6,855.47

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Solution

The fourth proportional to 24,385.64, 36,578.46 and 6,855.47 is: 10,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.64 : 36,578.46 = 6,855.47 : x
  2. Step 2: Convert to fraction form
    24,385.64/36,578.46 = 6,855.47/x
  3. Step 3: Cross multiply
    24,385.64x = 36,578.46 × 6,855.47
  4. Step 4: Simplify right side
    24,385.64x = 250,762,535.18
  5. Step 5: Solve for x
    x = 250,762,535.18/24,385.64
  6. Step 6: Final answer
    x = 10,283.21

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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.