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Finding the Fourth Proportional to 11,241, 15,511.47 and 6,204.90

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Solution

The fourth proportional to 11,241, 15,511.47 and 6,204.90 is: 8,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241 : 15,511.47 = 6,204.90 : x
  2. Step 2: Convert to fraction form
    11,241/15,511.47 = 6,204.90/x
  3. Step 3: Cross multiply
    11,241x = 15,511.47 × 6,204.90
  4. Step 4: Simplify right side
    11,241x = 96,247,120.20
  5. Step 5: Solve for x
    x = 96,247,120.20/11,241
  6. Step 6: Final answer
    x = 8,562.15

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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.