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Finding the Fourth Proportional to 9,299.16, 14,012.71 and 7,691.88

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Solution

The fourth proportional to 9,299.16, 14,012.71 and 7,691.88 is: 11,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.16 : 14,012.71 = 7,691.88 : x
  2. Step 2: Convert to fraction form
    9,299.16/14,012.71 = 7,691.88/x
  3. Step 3: Cross multiply
    9,299.16x = 14,012.71 × 7,691.88
  4. Step 4: Simplify right side
    9,299.16x = 107,784,083.79
  5. Step 5: Solve for x
    x = 107,784,083.79/9,299.16
  6. Step 6: Final answer
    x = 11,590.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.