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Finding the Fourth Proportional to 11,049.44, 15,242.08 and 8,392.64

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Solution

The fourth proportional to 11,049.44, 15,242.08 and 8,392.64 is: 11,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.44 : 15,242.08 = 8,392.64 : x
  2. Step 2: Convert to fraction form
    11,049.44/15,242.08 = 8,392.64/x
  3. Step 3: Cross multiply
    11,049.44x = 15,242.08 × 8,392.64
  4. Step 4: Simplify right side
    11,049.44x = 127,921,290.29
  5. Step 5: Solve for x
    x = 127,921,290.29/11,049.44
  6. Step 6: Final answer
    x = 11,577.17

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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.