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Finding the Fourth Proportional to 6,769.48, 9,343.02 and 5,648.62

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Solution

The fourth proportional to 6,769.48, 9,343.02 and 5,648.62 is: 7,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.48 : 9,343.02 = 5,648.62 : x
  2. Step 2: Convert to fraction form
    6,769.48/9,343.02 = 5,648.62/x
  3. Step 3: Cross multiply
    6,769.48x = 9,343.02 × 5,648.62
  4. Step 4: Simplify right side
    6,769.48x = 52,775,169.63
  5. Step 5: Solve for x
    x = 52,775,169.63/6,769.48
  6. Step 6: Final answer
    x = 7,796.04

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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.