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Finding the Fourth Proportional to 7,965.20, 10,991.94 and 4,428.20

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Solution

The fourth proportional to 7,965.20, 10,991.94 and 4,428.20 is: 6,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.20 : 10,991.94 = 4,428.20 : x
  2. Step 2: Convert to fraction form
    7,965.20/10,991.94 = 4,428.20/x
  3. Step 3: Cross multiply
    7,965.20x = 10,991.94 × 4,428.20
  4. Step 4: Simplify right side
    7,965.20x = 48,674,508.71
  5. Step 5: Solve for x
    x = 48,674,508.71/7,965.20
  6. Step 6: Final answer
    x = 6,110.90

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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.