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Finding the Fourth Proportional to 7,996.65, 11,034.62 and 7,727.93

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Solution

The fourth proportional to 7,996.65, 11,034.62 and 7,727.93 is: 10,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.65 : 11,034.62 = 7,727.93 : x
  2. Step 2: Convert to fraction form
    7,996.65/11,034.62 = 7,727.93/x
  3. Step 3: Cross multiply
    7,996.65x = 11,034.62 × 7,727.93
  4. Step 4: Simplify right side
    7,996.65x = 85,274,853.02
  5. Step 5: Solve for x
    x = 85,274,853.02/7,996.65
  6. Step 6: Final answer
    x = 10,663.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.