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Finding the Fourth Proportional to 12,501.14, 17,251.53 and 6,912.14

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Solution

The fourth proportional to 12,501.14, 17,251.53 and 6,912.14 is: 9,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.14 : 17,251.53 = 6,912.14 : x
  2. Step 2: Convert to fraction form
    12,501.14/17,251.53 = 6,912.14/x
  3. Step 3: Cross multiply
    12,501.14x = 17,251.53 × 6,912.14
  4. Step 4: Simplify right side
    12,501.14x = 119,244,990.57
  5. Step 5: Solve for x
    x = 119,244,990.57/12,501.14
  6. Step 6: Final answer
    x = 9,538.73

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1.5x scale

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.