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Finding the Fourth Proportional to 6,449.70, 9,674.55 and 1,769.76

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Solution

The fourth proportional to 6,449.70, 9,674.55 and 1,769.76 is: 2,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.70 : 9,674.55 = 1,769.76 : x
  2. Step 2: Convert to fraction form
    6,449.70/9,674.55 = 1,769.76/x
  3. Step 3: Cross multiply
    6,449.70x = 9,674.55 × 1,769.76
  4. Step 4: Simplify right side
    6,449.70x = 17,121,631.61
  5. Step 5: Solve for x
    x = 17,121,631.61/6,449.70
  6. Step 6: Final answer
    x = 2,654.64

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Similar ratio
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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.