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Finding the Fourth Proportional to 9,654.75, 14,449.23 and 8,096.49

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Solution

The fourth proportional to 9,654.75, 14,449.23 and 8,096.49 is: 12,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.75 : 14,449.23 = 8,096.49 : x
  2. Step 2: Convert to fraction form
    9,654.75/14,449.23 = 8,096.49/x
  3. Step 3: Cross multiply
    9,654.75x = 14,449.23 × 8,096.49
  4. Step 4: Simplify right side
    9,654.75x = 116,988,046.20
  5. Step 5: Solve for x
    x = 116,988,046.20/9,654.75
  6. Step 6: Final answer
    x = 12,117.15

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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.