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Finding the Fourth Proportional to 6,952.69, 10,430.85 and 2,022.22

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Solution

The fourth proportional to 6,952.69, 10,430.85 and 2,022.22 is: 3,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.69 : 10,430.85 = 2,022.22 : x
  2. Step 2: Convert to fraction form
    6,952.69/10,430.85 = 2,022.22/x
  3. Step 3: Cross multiply
    6,952.69x = 10,430.85 × 2,022.22
  4. Step 4: Simplify right side
    6,952.69x = 21,093,473.49
  5. Step 5: Solve for x
    x = 21,093,473.49/6,952.69
  6. Step 6: Final answer
    x = 3,033.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.