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Finding the Fourth Proportional to 7,965.78, 10,993.22 and 4,428.99

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Solution

The fourth proportional to 7,965.78, 10,993.22 and 4,428.99 is: 6,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.78 : 10,993.22 = 4,428.99 : x
  2. Step 2: Convert to fraction form
    7,965.78/10,993.22 = 4,428.99/x
  3. Step 3: Cross multiply
    7,965.78x = 10,993.22 × 4,428.99
  4. Step 4: Simplify right side
    7,965.78x = 48,688,861.45
  5. Step 5: Solve for x
    x = 48,688,861.45/7,965.78
  6. Step 6: Final answer
    x = 6,112.25

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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.