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Finding the Fourth Proportional to 11,241, 16,822.44 and 9,242.76

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Solution

The fourth proportional to 11,241, 16,822.44 and 9,242.76 is: 13,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241 : 16,822.44 = 9,242.76 : x
  2. Step 2: Convert to fraction form
    11,241/16,822.44 = 9,242.76/x
  3. Step 3: Cross multiply
    11,241x = 16,822.44 × 9,242.76
  4. Step 4: Simplify right side
    11,241x = 155,485,775.53
  5. Step 5: Solve for x
    x = 155,485,775.53/11,241
  6. Step 6: Final answer
    x = 13,832.02

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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.