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Finding the Fourth Proportional to 12,298.82, 16,972.38 and 6,709.82

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Solution

The fourth proportional to 12,298.82, 16,972.38 and 6,709.82 is: 9,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.82 : 16,972.38 = 6,709.82 : x
  2. Step 2: Convert to fraction form
    12,298.82/16,972.38 = 6,709.82/x
  3. Step 3: Cross multiply
    12,298.82x = 16,972.38 × 6,709.82
  4. Step 4: Simplify right side
    12,298.82x = 113,881,614.77
  5. Step 5: Solve for x
    x = 113,881,614.77/12,298.82
  6. Step 6: Final answer
    x = 9,259.56

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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.