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Finding the Fourth Proportional to 9,974.88, 13,665.65 and 9,601.20

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Solution

The fourth proportional to 9,974.88, 13,665.65 and 9,601.20 is: 13,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.88 : 13,665.65 = 9,601.20 : x
  2. Step 2: Convert to fraction form
    9,974.88/13,665.65 = 9,601.20/x
  3. Step 3: Cross multiply
    9,974.88x = 13,665.65 × 9,601.20
  4. Step 4: Simplify right side
    9,974.88x = 131,206,590.77
  5. Step 5: Solve for x
    x = 131,206,590.77/9,974.88
  6. Step 6: Final answer
    x = 13,153.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.