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Finding the Fourth Proportional to 6,493.89, 9,743.10 and 2,052.23

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Solution

The fourth proportional to 6,493.89, 9,743.10 and 2,052.23 is: 3,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.89 : 9,743.10 = 2,052.23 : x
  2. Step 2: Convert to fraction form
    6,493.89/9,743.10 = 2,052.23/x
  3. Step 3: Cross multiply
    6,493.89x = 9,743.10 × 2,052.23
  4. Step 4: Simplify right side
    6,493.89x = 19,995,071.85
  5. Step 5: Solve for x
    x = 19,995,071.85/6,493.89
  6. Step 6: Final answer
    x = 3,079.06

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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.