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Finding the Fourth Proportional to 9,900.11, 14,833.68 and 6,972.26

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Solution

The fourth proportional to 9,900.11, 14,833.68 and 6,972.26 is: 10,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.11 : 14,833.68 = 6,972.26 : x
  2. Step 2: Convert to fraction form
    9,900.11/14,833.68 = 6,972.26/x
  3. Step 3: Cross multiply
    9,900.11x = 14,833.68 × 6,972.26
  4. Step 4: Simplify right side
    9,900.11x = 103,424,273.72
  5. Step 5: Solve for x
    x = 103,424,273.72/9,900.11
  6. Step 6: Final answer
    x = 10,446.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.