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Finding the Fourth Proportional to 10,231.86, 15,323.15 and 6,934.97

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Solution

The fourth proportional to 10,231.86, 15,323.15 and 6,934.97 is: 10,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.86 : 15,323.15 = 6,934.97 : x
  2. Step 2: Convert to fraction form
    10,231.86/15,323.15 = 6,934.97/x
  3. Step 3: Cross multiply
    10,231.86x = 15,323.15 × 6,934.97
  4. Step 4: Simplify right side
    10,231.86x = 106,265,474.26
  5. Step 5: Solve for x
    x = 106,265,474.26/10,231.86
  6. Step 6: Final answer
    x = 10,385.74

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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.