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Finding the Fourth Proportional to 7,949, 10,969.62 and 5,154.50

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Solution

The fourth proportional to 7,949, 10,969.62 and 5,154.50 is: 7,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949 : 10,969.62 = 5,154.50 : x
  2. Step 2: Convert to fraction form
    7,949/10,969.62 = 5,154.50/x
  3. Step 3: Cross multiply
    7,949x = 10,969.62 × 5,154.50
  4. Step 4: Simplify right side
    7,949x = 56,542,906.29
  5. Step 5: Solve for x
    x = 56,542,906.29/7,949
  6. Step 6: Final answer
    x = 7,113.21

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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.