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Finding the Fourth Proportional to 6,874.55, 10,317 and 5,030.42

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Solution

The fourth proportional to 6,874.55, 10,317 and 5,030.42 is: 7,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.55 : 10,317 = 5,030.42 : x
  2. Step 2: Convert to fraction form
    6,874.55/10,317 = 5,030.42/x
  3. Step 3: Cross multiply
    6,874.55x = 10,317 × 5,030.42
  4. Step 4: Simplify right side
    6,874.55x = 51,898,791.56
  5. Step 5: Solve for x
    x = 51,898,791.56/6,874.55
  6. Step 6: Final answer
    x = 7,549.41

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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.