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Finding the Fourth Proportional to 15,825, 23,734.92 and 5,299.68

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Solution

The fourth proportional to 15,825, 23,734.92 and 5,299.68 is: 7,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825 : 23,734.92 = 5,299.68 : x
  2. Step 2: Convert to fraction form
    15,825/23,734.92 = 5,299.68/x
  3. Step 3: Cross multiply
    15,825x = 23,734.92 × 5,299.68
  4. Step 4: Simplify right side
    15,825x = 125,787,480.83
  5. Step 5: Solve for x
    x = 125,787,480.83/15,825
  6. Step 6: Final answer
    x = 7,948.66

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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.