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Finding the Fourth Proportional to 7,964.41, 10,991.10 and 4,427.56

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Solution

The fourth proportional to 7,964.41, 10,991.10 and 4,427.56 is: 6,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.41 : 10,991.10 = 4,427.56 : x
  2. Step 2: Convert to fraction form
    7,964.41/10,991.10 = 4,427.56/x
  3. Step 3: Cross multiply
    7,964.41x = 10,991.10 × 4,427.56
  4. Step 4: Simplify right side
    7,964.41x = 48,663,754.72
  5. Step 5: Solve for x
    x = 48,663,754.72/7,964.41
  6. Step 6: Final answer
    x = 6,110.15

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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.