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Finding the Fourth Proportional to 9,038, 13,524.60 and 5,342.24

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Solution

The fourth proportional to 9,038, 13,524.60 and 5,342.24 is: 7,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038 : 13,524.60 = 5,342.24 : x
  2. Step 2: Convert to fraction form
    9,038/13,524.60 = 5,342.24/x
  3. Step 3: Cross multiply
    9,038x = 13,524.60 × 5,342.24
  4. Step 4: Simplify right side
    9,038x = 72,251,659.10
  5. Step 5: Solve for x
    x = 72,251,659.10/9,038
  6. Step 6: Final answer
    x = 7,994.21

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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.