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Finding the Fourth Proportional to 6,575.82, 9,870.03 and 4,115.58

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Solution

The fourth proportional to 6,575.82, 9,870.03 and 4,115.58 is: 6,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.82 : 9,870.03 = 4,115.58 : x
  2. Step 2: Convert to fraction form
    6,575.82/9,870.03 = 4,115.58/x
  3. Step 3: Cross multiply
    6,575.82x = 9,870.03 × 4,115.58
  4. Step 4: Simplify right side
    6,575.82x = 40,620,898.07
  5. Step 5: Solve for x
    x = 40,620,898.07/6,575.82
  6. Step 6: Final answer
    x = 6,177.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.