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Finding the Fourth Proportional to 7,750.44, 10,695.71 and 4,213.64

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Solution

The fourth proportional to 7,750.44, 10,695.71 and 4,213.64 is: 5,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.44 : 10,695.71 = 4,213.64 : x
  2. Step 2: Convert to fraction form
    7,750.44/10,695.71 = 4,213.64/x
  3. Step 3: Cross multiply
    7,750.44x = 10,695.71 × 4,213.64
  4. Step 4: Simplify right side
    7,750.44x = 45,067,908.76
  5. Step 5: Solve for x
    x = 45,067,908.76/7,750.44
  6. Step 6: Final answer
    x = 5,814.88

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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.