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Finding the Fourth Proportional to 6,575.40, 9,870.30 and 3,659.40

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Solution

The fourth proportional to 6,575.40, 9,870.30 and 3,659.40 is: 5,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.40 : 9,870.30 = 3,659.40 : x
  2. Step 2: Convert to fraction form
    6,575.40/9,870.30 = 3,659.40/x
  3. Step 3: Cross multiply
    6,575.40x = 9,870.30 × 3,659.40
  4. Step 4: Simplify right side
    6,575.40x = 36,119,375.82
  5. Step 5: Solve for x
    x = 36,119,375.82/6,575.40
  6. Step 6: Final answer
    x = 5,493.11

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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.