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Finding the Fourth Proportional to 6,559.76, 9,837.03 and 2,398.82

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Solution

The fourth proportional to 6,559.76, 9,837.03 and 2,398.82 is: 3,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.76 : 9,837.03 = 2,398.82 : x
  2. Step 2: Convert to fraction form
    6,559.76/9,837.03 = 2,398.82/x
  3. Step 3: Cross multiply
    6,559.76x = 9,837.03 × 2,398.82
  4. Step 4: Simplify right side
    6,559.76x = 23,597,264.30
  5. Step 5: Solve for x
    x = 23,597,264.30/6,559.76
  6. Step 6: Final answer
    x = 3,597.28

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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.