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Finding the Fourth Proportional to 9,015.78, 13,524.52 and 2,442

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Solution

The fourth proportional to 9,015.78, 13,524.52 and 2,442 is: 3,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.78 : 13,524.52 = 2,442 : x
  2. Step 2: Convert to fraction form
    9,015.78/13,524.52 = 2,442/x
  3. Step 3: Cross multiply
    9,015.78x = 13,524.52 × 2,442
  4. Step 4: Simplify right side
    9,015.78x = 33,026,877.84
  5. Step 5: Solve for x
    x = 33,026,877.84/9,015.78
  6. Step 6: Final answer
    x = 3,663.23

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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.