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Finding the Fourth Proportional to 10,385.58, 15,578.41 and 2,594.40

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Solution

The fourth proportional to 10,385.58, 15,578.41 and 2,594.40 is: 3,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.58 : 15,578.41 = 2,594.40 : x
  2. Step 2: Convert to fraction form
    10,385.58/15,578.41 = 2,594.40/x
  3. Step 3: Cross multiply
    10,385.58x = 15,578.41 × 2,594.40
  4. Step 4: Simplify right side
    10,385.58x = 40,416,626.90
  5. Step 5: Solve for x
    x = 40,416,626.90/10,385.58
  6. Step 6: Final answer
    x = 3,891.61

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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.