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Finding the Fourth Proportional to 5,047.72, 6,965.67 and 2,951.80

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Solution

The fourth proportional to 5,047.72, 6,965.67 and 2,951.80 is: 4,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.72 : 6,965.67 = 2,951.80 : x
  2. Step 2: Convert to fraction form
    5,047.72/6,965.67 = 2,951.80/x
  3. Step 3: Cross multiply
    5,047.72x = 6,965.67 × 2,951.80
  4. Step 4: Simplify right side
    5,047.72x = 20,561,264.71
  5. Step 5: Solve for x
    x = 20,561,264.71/5,047.72
  6. Step 6: Final answer
    x = 4,073.38

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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.