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Finding the Fourth Proportional to 6,452.97, 9,678.74 and 1,773.33

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Solution

The fourth proportional to 6,452.97, 9,678.74 and 1,773.33 is: 2,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.97 : 9,678.74 = 1,773.33 : x
  2. Step 2: Convert to fraction form
    6,452.97/9,678.74 = 1,773.33/x
  3. Step 3: Cross multiply
    6,452.97x = 9,678.74 × 1,773.33
  4. Step 4: Simplify right side
    6,452.97x = 17,163,591.14
  5. Step 5: Solve for x
    x = 17,163,591.14/6,452.97
  6. Step 6: Final answer
    x = 2,659.80

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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.