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Finding the Fourth Proportional to 6,306.90, 8,703.45 and 3,474.22

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Solution

The fourth proportional to 6,306.90, 8,703.45 and 3,474.22 is: 4,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.90 : 8,703.45 = 3,474.22 : x
  2. Step 2: Convert to fraction form
    6,306.90/8,703.45 = 3,474.22/x
  3. Step 3: Cross multiply
    6,306.90x = 8,703.45 × 3,474.22
  4. Step 4: Simplify right side
    6,306.90x = 30,237,700.06
  5. Step 5: Solve for x
    x = 30,237,700.06/6,306.90
  6. Step 6: Final answer
    x = 4,794.38

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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.