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Finding the Fourth Proportional to 5,047.12, 6,965.86 and 2,950.84

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Solution

The fourth proportional to 5,047.12, 6,965.86 and 2,950.84 is: 4,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.12 : 6,965.86 = 2,950.84 : x
  2. Step 2: Convert to fraction form
    5,047.12/6,965.86 = 2,950.84/x
  3. Step 3: Cross multiply
    5,047.12x = 6,965.86 × 2,950.84
  4. Step 4: Simplify right side
    5,047.12x = 20,555,138.32
  5. Step 5: Solve for x
    x = 20,555,138.32/5,047.12
  6. Step 6: Final answer
    x = 4,072.65

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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.