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Finding the Fourth Proportional to 6,934.80, 9,573.84 and 4,581.06

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Solution

The fourth proportional to 6,934.80, 9,573.84 and 4,581.06 is: 6,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.80 : 9,573.84 = 4,581.06 : x
  2. Step 2: Convert to fraction form
    6,934.80/9,573.84 = 4,581.06/x
  3. Step 3: Cross multiply
    6,934.80x = 9,573.84 × 4,581.06
  4. Step 4: Simplify right side
    6,934.80x = 43,858,335.47
  5. Step 5: Solve for x
    x = 43,858,335.47/6,934.80
  6. Step 6: Final answer
    x = 6,324.38

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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.