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Finding the Fourth Proportional to 9,288.44, 13,916.44 and 7,738.38

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Solution

The fourth proportional to 9,288.44, 13,916.44 and 7,738.38 is: 11,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.44 : 13,916.44 = 7,738.38 : x
  2. Step 2: Convert to fraction form
    9,288.44/13,916.44 = 7,738.38/x
  3. Step 3: Cross multiply
    9,288.44x = 13,916.44 × 7,738.38
  4. Step 4: Simplify right side
    9,288.44x = 107,690,700.97
  5. Step 5: Solve for x
    x = 107,690,700.97/9,288.44
  6. Step 6: Final answer
    x = 11,594.06

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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.