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Finding the Fourth Proportional to 10,506.57, 14,504.99 and 6,974.61

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Solution

The fourth proportional to 10,506.57, 14,504.99 and 6,974.61 is: 9,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.57 : 14,504.99 = 6,974.61 : x
  2. Step 2: Convert to fraction form
    10,506.57/14,504.99 = 6,974.61/x
  3. Step 3: Cross multiply
    10,506.57x = 14,504.99 × 6,974.61
  4. Step 4: Simplify right side
    10,506.57x = 101,166,648.30
  5. Step 5: Solve for x
    x = 101,166,648.30/10,506.57
  6. Step 6: Final answer
    x = 9,628.89

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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.