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Finding the Fourth Proportional to 6,306.04, 9,462.56 and 2,843

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Solution

The fourth proportional to 6,306.04, 9,462.56 and 2,843 is: 4,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.04 : 9,462.56 = 2,843 : x
  2. Step 2: Convert to fraction form
    6,306.04/9,462.56 = 2,843/x
  3. Step 3: Cross multiply
    6,306.04x = 9,462.56 × 2,843
  4. Step 4: Simplify right side
    6,306.04x = 26,902,058.08
  5. Step 5: Solve for x
    x = 26,902,058.08/6,306.04
  6. Step 6: Final answer
    x = 4,266.08

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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.