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Finding the Fourth Proportional to 6,175, 8,521.50 and 3,380.56

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Solution

The fourth proportional to 6,175, 8,521.50 and 3,380.56 is: 4,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175 : 8,521.50 = 3,380.56 : x
  2. Step 2: Convert to fraction form
    6,175/8,521.50 = 3,380.56/x
  3. Step 3: Cross multiply
    6,175x = 8,521.50 × 3,380.56
  4. Step 4: Simplify right side
    6,175x = 28,807,442.04
  5. Step 5: Solve for x
    x = 28,807,442.04/6,175
  6. Step 6: Final answer
    x = 4,665.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.