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Finding the Fourth Proportional to 15,869.10, 23,794.08 and 8,378.63

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Solution

The fourth proportional to 15,869.10, 23,794.08 and 8,378.63 is: 12,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.10 : 23,794.08 = 8,378.63 : x
  2. Step 2: Convert to fraction form
    15,869.10/23,794.08 = 8,378.63/x
  3. Step 3: Cross multiply
    15,869.10x = 23,794.08 × 8,378.63
  4. Step 4: Simplify right side
    15,869.10x = 199,361,673.54
  5. Step 5: Solve for x
    x = 199,361,673.54/15,869.10
  6. Step 6: Final answer
    x = 12,562.88

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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.