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Finding the Fourth Proportional to 10,633.17, 14,664.22 and 6,654.65

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Solution

The fourth proportional to 10,633.17, 14,664.22 and 6,654.65 is: 9,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.17 : 14,664.22 = 6,654.65 : x
  2. Step 2: Convert to fraction form
    10,633.17/14,664.22 = 6,654.65/x
  3. Step 3: Cross multiply
    10,633.17x = 14,664.22 × 6,654.65
  4. Step 4: Simplify right side
    10,633.17x = 97,585,251.62
  5. Step 5: Solve for x
    x = 97,585,251.62/10,633.17
  6. Step 6: Final answer
    x = 9,177.44

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1.5x scale

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.