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Finding the Fourth Proportional to 6,505.83, 9,769.47 and 5,691.09

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Solution

The fourth proportional to 6,505.83, 9,769.47 and 5,691.09 is: 8,546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.83 : 9,769.47 = 5,691.09 : x
  2. Step 2: Convert to fraction form
    6,505.83/9,769.47 = 5,691.09/x
  3. Step 3: Cross multiply
    6,505.83x = 9,769.47 × 5,691.09
  4. Step 4: Simplify right side
    6,505.83x = 55,598,933.02
  5. Step 5: Solve for x
    x = 55,598,933.02/6,505.83
  6. Step 6: Final answer
    x = 8,546.02

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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.