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Finding the Fourth Proportional to 6,853.04, 9,456.72 and 4,058

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Solution

The fourth proportional to 6,853.04, 9,456.72 and 4,058 is: 5,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.04 : 9,456.72 = 4,058 : x
  2. Step 2: Convert to fraction form
    6,853.04/9,456.72 = 4,058/x
  3. Step 3: Cross multiply
    6,853.04x = 9,456.72 × 4,058
  4. Step 4: Simplify right side
    6,853.04x = 38,375,369.76
  5. Step 5: Solve for x
    x = 38,375,369.76/6,853.04
  6. Step 6: Final answer
    x = 5,599.76

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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.