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Finding the Fourth Proportional to 11,393.73, 15,723.85 and 6,357.97

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Solution

The fourth proportional to 11,393.73, 15,723.85 and 6,357.97 is: 8,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.73 : 15,723.85 = 6,357.97 : x
  2. Step 2: Convert to fraction form
    11,393.73/15,723.85 = 6,357.97/x
  3. Step 3: Cross multiply
    11,393.73x = 15,723.85 × 6,357.97
  4. Step 4: Simplify right side
    11,393.73x = 99,971,766.58
  5. Step 5: Solve for x
    x = 99,971,766.58/11,393.73
  6. Step 6: Final answer
    x = 8,774.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.