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Finding the Fourth Proportional to 6,559.97, 9,842.84 and 3,439.23

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Solution

The fourth proportional to 6,559.97, 9,842.84 and 3,439.23 is: 5,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.97 : 9,842.84 = 3,439.23 : x
  2. Step 2: Convert to fraction form
    6,559.97/9,842.84 = 3,439.23/x
  3. Step 3: Cross multiply
    6,559.97x = 9,842.84 × 3,439.23
  4. Step 4: Simplify right side
    6,559.97x = 33,851,749.40
  5. Step 5: Solve for x
    x = 33,851,749.40/6,559.97
  6. Step 6: Final answer
    x = 5,160.36

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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.