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Finding the Fourth Proportional to 11,844.52, 16,348.16 and 7,371.70

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Solution

The fourth proportional to 11,844.52, 16,348.16 and 7,371.70 is: 10,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.52 : 16,348.16 = 7,371.70 : x
  2. Step 2: Convert to fraction form
    11,844.52/16,348.16 = 7,371.70/x
  3. Step 3: Cross multiply
    11,844.52x = 16,348.16 × 7,371.70
  4. Step 4: Simplify right side
    11,844.52x = 120,513,731.07
  5. Step 5: Solve for x
    x = 120,513,731.07/11,844.52
  6. Step 6: Final answer
    x = 10,174.64

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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.