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Finding the Fourth Proportional to 9,663.44, 14,560.97 and 7,946.89

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Solution

The fourth proportional to 9,663.44, 14,560.97 and 7,946.89 is: 11,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.44 : 14,560.97 = 7,946.89 : x
  2. Step 2: Convert to fraction form
    9,663.44/14,560.97 = 7,946.89/x
  3. Step 3: Cross multiply
    9,663.44x = 14,560.97 × 7,946.89
  4. Step 4: Simplify right side
    9,663.44x = 115,714,350.75
  5. Step 5: Solve for x
    x = 115,714,350.75/9,663.44
  6. Step 6: Final answer
    x = 11,974.45

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Similar ratio
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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.