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Finding the Fourth Proportional to 7,394.64, 11,027.82 and 6,306

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Solution

The fourth proportional to 7,394.64, 11,027.82 and 6,306 is: 9,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.64 : 11,027.82 = 6,306 : x
  2. Step 2: Convert to fraction form
    7,394.64/11,027.82 = 6,306/x
  3. Step 3: Cross multiply
    7,394.64x = 11,027.82 × 6,306
  4. Step 4: Simplify right side
    7,394.64x = 69,541,432.92
  5. Step 5: Solve for x
    x = 69,541,432.92/7,394.64
  6. Step 6: Final answer
    x = 9,404.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.