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Finding the Fourth Proportional to 6,319.80, 9,465.30 and 6,175.80

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Solution

The fourth proportional to 6,319.80, 9,465.30 and 6,175.80 is: 9,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.80 : 9,465.30 = 6,175.80 : x
  2. Step 2: Convert to fraction form
    6,319.80/9,465.30 = 6,175.80/x
  3. Step 3: Cross multiply
    6,319.80x = 9,465.30 × 6,175.80
  4. Step 4: Simplify right side
    6,319.80x = 58,455,799.74
  5. Step 5: Solve for x
    x = 58,455,799.74/6,319.80
  6. Step 6: Final answer
    x = 9,249.63

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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.