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Finding the Fourth Proportional to 5,064.92, 6,991.26 and 2,969

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Solution

The fourth proportional to 5,064.92, 6,991.26 and 2,969 is: 4,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.92 : 6,991.26 = 2,969 : x
  2. Step 2: Convert to fraction form
    5,064.92/6,991.26 = 2,969/x
  3. Step 3: Cross multiply
    5,064.92x = 6,991.26 × 2,969
  4. Step 4: Simplify right side
    5,064.92x = 20,757,050.94
  5. Step 5: Solve for x
    x = 20,757,050.94/5,064.92
  6. Step 6: Final answer
    x = 4,098.20

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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.