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Finding the Fourth Proportional to 6,235.38, 9,351.86 and 2,948.00

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Solution

The fourth proportional to 6,235.38, 9,351.86 and 2,948.00 is: 4,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.38 : 9,351.86 = 2,948.00 : x
  2. Step 2: Convert to fraction form
    6,235.38/9,351.86 = 2,948.00/x
  3. Step 3: Cross multiply
    6,235.38x = 9,351.86 × 2,948.00
  4. Step 4: Simplify right side
    6,235.38x = 27,569,221.78
  5. Step 5: Solve for x
    x = 27,569,221.78/6,235.38
  6. Step 6: Final answer
    x = 4,421.42

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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.