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Finding the Fourth Proportional to 12,282.65, 16,945.57 and 6,974.38

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Solution

The fourth proportional to 12,282.65, 16,945.57 and 6,974.38 is: 9,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.65 : 16,945.57 = 6,974.38 : x
  2. Step 2: Convert to fraction form
    12,282.65/16,945.57 = 6,974.38/x
  3. Step 3: Cross multiply
    12,282.65x = 16,945.57 × 6,974.38
  4. Step 4: Simplify right side
    12,282.65x = 118,184,844.50
  5. Step 5: Solve for x
    x = 118,184,844.50/12,282.65
  6. Step 6: Final answer
    x = 9,622.10

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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.