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Finding the Fourth Proportional to 9,248.57, 13,874.93 and 2,675.27

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Solution

The fourth proportional to 9,248.57, 13,874.93 and 2,675.27 is: 4,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.57 : 13,874.93 = 2,675.27 : x
  2. Step 2: Convert to fraction form
    9,248.57/13,874.93 = 2,675.27/x
  3. Step 3: Cross multiply
    9,248.57x = 13,874.93 × 2,675.27
  4. Step 4: Simplify right side
    9,248.57x = 37,119,173.33
  5. Step 5: Solve for x
    x = 37,119,173.33/9,248.57
  6. Step 6: Final answer
    x = 4,013.50

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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.