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Finding the Fourth Proportional to 11,186.52, 15,438.06 and 6,472.44

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Solution

The fourth proportional to 11,186.52, 15,438.06 and 6,472.44 is: 8,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.52 : 15,438.06 = 6,472.44 : x
  2. Step 2: Convert to fraction form
    11,186.52/15,438.06 = 6,472.44/x
  3. Step 3: Cross multiply
    11,186.52x = 15,438.06 × 6,472.44
  4. Step 4: Simplify right side
    11,186.52x = 99,921,917.07
  5. Step 5: Solve for x
    x = 99,921,917.07/11,186.52
  6. Step 6: Final answer
    x = 8,932.35

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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.