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Finding the Fourth Proportional to 11,065.95, 15,274.94 and 9,884.97

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Solution

The fourth proportional to 11,065.95, 15,274.94 and 9,884.97 is: 13,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.95 : 15,274.94 = 9,884.97 : x
  2. Step 2: Convert to fraction form
    11,065.95/15,274.94 = 9,884.97/x
  3. Step 3: Cross multiply
    11,065.95x = 15,274.94 × 9,884.97
  4. Step 4: Simplify right side
    11,065.95x = 150,992,323.65
  5. Step 5: Solve for x
    x = 150,992,323.65/11,065.95
  6. Step 6: Final answer
    x = 13,644.77

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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.