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Finding the Fourth Proportional to 12,701, 17,527.38 and 7,112.12

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Solution

The fourth proportional to 12,701, 17,527.38 and 7,112.12 is: 9,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701 : 17,527.38 = 7,112.12 : x
  2. Step 2: Convert to fraction form
    12,701/17,527.38 = 7,112.12/x
  3. Step 3: Cross multiply
    12,701x = 17,527.38 × 7,112.12
  4. Step 4: Simplify right side
    12,701x = 124,656,829.85
  5. Step 5: Solve for x
    x = 124,656,829.85/12,701
  6. Step 6: Final answer
    x = 9,814.73

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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.