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Finding the Fourth Proportional to 17,287, 25,931.96 and 4,975

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Solution

The fourth proportional to 17,287, 25,931.96 and 4,975 is: 7,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287 : 25,931.96 = 4,975 : x
  2. Step 2: Convert to fraction form
    17,287/25,931.96 = 4,975/x
  3. Step 3: Cross multiply
    17,287x = 25,931.96 × 4,975
  4. Step 4: Simplify right side
    17,287x = 129,011,501
  5. Step 5: Solve for x
    x = 129,011,501/17,287
  6. Step 6: Final answer
    x = 7,462.92

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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.