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Finding the Fourth Proportional to 11,132, 15,363.12 and 6,164.96

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Solution

The fourth proportional to 11,132, 15,363.12 and 6,164.96 is: 8,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 15,363.12 = 6,164.96 : x
  2. Step 2: Convert to fraction form
    11,132/15,363.12 = 6,164.96/x
  3. Step 3: Cross multiply
    11,132x = 15,363.12 × 6,164.96
  4. Step 4: Simplify right side
    11,132x = 94,713,020.28
  5. Step 5: Solve for x
    x = 94,713,020.28/11,132
  6. Step 6: Final answer
    x = 8,508.18

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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.