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Finding the Fourth Proportional to 9,472.34, 14,215.85 and 7,627.97

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Solution

The fourth proportional to 9,472.34, 14,215.85 and 7,627.97 is: 11,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.34 : 14,215.85 = 7,627.97 : x
  2. Step 2: Convert to fraction form
    9,472.34/14,215.85 = 7,627.97/x
  3. Step 3: Cross multiply
    9,472.34x = 14,215.85 × 7,627.97
  4. Step 4: Simplify right side
    9,472.34x = 108,438,077.32
  5. Step 5: Solve for x
    x = 108,438,077.32/9,472.34
  6. Step 6: Final answer
    x = 11,447.87

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1.5x scale

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.