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Finding the Fourth Proportional to 24,376.10, 36,564.15 and 6,843.65

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Solution

The fourth proportional to 24,376.10, 36,564.15 and 6,843.65 is: 10,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.10 : 36,564.15 = 6,843.65 : x
  2. Step 2: Convert to fraction form
    24,376.10/36,564.15 = 6,843.65/x
  3. Step 3: Cross multiply
    24,376.10x = 36,564.15 × 6,843.65
  4. Step 4: Simplify right side
    24,376.10x = 250,232,245.15
  5. Step 5: Solve for x
    x = 250,232,245.15/24,376.10
  6. Step 6: Final answer
    x = 10,265.48

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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.