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Finding the Fourth Proportional to 9,665.76, 14,494.56 and 3,001.44

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Solution

The fourth proportional to 9,665.76, 14,494.56 and 3,001.44 is: 4,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.76 : 14,494.56 = 3,001.44 : x
  2. Step 2: Convert to fraction form
    9,665.76/14,494.56 = 3,001.44/x
  3. Step 3: Cross multiply
    9,665.76x = 14,494.56 × 3,001.44
  4. Step 4: Simplify right side
    9,665.76x = 43,504,552.17
  5. Step 5: Solve for x
    x = 43,504,552.17/9,665.76
  6. Step 6: Final answer
    x = 4,500.89

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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.