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Finding the Fourth Proportional to 6,349.44, 9,538.80 and 6,087

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Solution

The fourth proportional to 6,349.44, 9,538.80 and 6,087 is: 9,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.44 : 9,538.80 = 6,087 : x
  2. Step 2: Convert to fraction form
    6,349.44/9,538.80 = 6,087/x
  3. Step 3: Cross multiply
    6,349.44x = 9,538.80 × 6,087
  4. Step 4: Simplify right side
    6,349.44x = 58,062,675.60
  5. Step 5: Solve for x
    x = 58,062,675.60/6,349.44
  6. Step 6: Final answer
    x = 9,144.53

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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.