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Finding the Fourth Proportional to 24,385.50, 36,578.34 and 5,917.50

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Solution

The fourth proportional to 24,385.50, 36,578.34 and 5,917.50 is: 8,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.50 : 36,578.34 = 5,917.50 : x
  2. Step 2: Convert to fraction form
    24,385.50/36,578.34 = 5,917.50/x
  3. Step 3: Cross multiply
    24,385.50x = 36,578.34 × 5,917.50
  4. Step 4: Simplify right side
    24,385.50x = 216,452,326.95
  5. Step 5: Solve for x
    x = 216,452,326.95/24,385.50
  6. Step 6: Final answer
    x = 8,876.27

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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.