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Finding the Fourth Proportional to 6,306.75, 8,703.22 and 3,654.10

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Solution

The fourth proportional to 6,306.75, 8,703.22 and 3,654.10 is: 5,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.75 : 8,703.22 = 3,654.10 : x
  2. Step 2: Convert to fraction form
    6,306.75/8,703.22 = 3,654.10/x
  3. Step 3: Cross multiply
    6,306.75x = 8,703.22 × 3,654.10
  4. Step 4: Simplify right side
    6,306.75x = 31,802,374.42
  5. Step 5: Solve for x
    x = 31,802,374.42/6,306.75
  6. Step 6: Final answer
    x = 5,042.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.