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Finding the Fourth Proportional to 12,497, 17,246.04 and 6,908

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Solution

The fourth proportional to 12,497, 17,246.04 and 6,908 is: 9,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497 : 17,246.04 = 6,908 : x
  2. Step 2: Convert to fraction form
    12,497/17,246.04 = 6,908/x
  3. Step 3: Cross multiply
    12,497x = 17,246.04 × 6,908
  4. Step 4: Simplify right side
    12,497x = 119,135,644.32
  5. Step 5: Solve for x
    x = 119,135,644.32/12,497
  6. Step 6: Final answer
    x = 9,533.14

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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.