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Finding the Fourth Proportional to 6,934.26, 10,398.82 and 5,456.35

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Solution

The fourth proportional to 6,934.26, 10,398.82 and 5,456.35 is: 8,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.26 : 10,398.82 = 5,456.35 : x
  2. Step 2: Convert to fraction form
    6,934.26/10,398.82 = 5,456.35/x
  3. Step 3: Cross multiply
    6,934.26x = 10,398.82 × 5,456.35
  4. Step 4: Simplify right side
    6,934.26x = 56,739,601.51
  5. Step 5: Solve for x
    x = 56,739,601.51/6,934.26
  6. Step 6: Final answer
    x = 8,182.50

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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.