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Finding the Fourth Proportional to 6,986.37, 9,640.02 and 4,155.42

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Solution

The fourth proportional to 6,986.37, 9,640.02 and 4,155.42 is: 5,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.37 : 9,640.02 = 4,155.42 : x
  2. Step 2: Convert to fraction form
    6,986.37/9,640.02 = 4,155.42/x
  3. Step 3: Cross multiply
    6,986.37x = 9,640.02 × 4,155.42
  4. Step 4: Simplify right side
    6,986.37x = 40,058,331.91
  5. Step 5: Solve for x
    x = 40,058,331.91/6,986.37
  6. Step 6: Final answer
    x = 5,733.78

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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.