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Finding the Fourth Proportional to 6,575.80, 9,849.30 and 5,711.80

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Solution

The fourth proportional to 6,575.80, 9,849.30 and 5,711.80 is: 8,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.80 : 9,849.30 = 5,711.80 : x
  2. Step 2: Convert to fraction form
    6,575.80/9,849.30 = 5,711.80/x
  3. Step 3: Cross multiply
    6,575.80x = 9,849.30 × 5,711.80
  4. Step 4: Simplify right side
    6,575.80x = 56,257,231.74
  5. Step 5: Solve for x
    x = 56,257,231.74/6,575.80
  6. Step 6: Final answer
    x = 8,555.19

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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.