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Finding the Fourth Proportional to 5,309.75, 7,964.63 and 1,847

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Solution

The fourth proportional to 5,309.75, 7,964.63 and 1,847 is: 2,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.75 : 7,964.63 = 1,847 : x
  2. Step 2: Convert to fraction form
    5,309.75/7,964.63 = 1,847/x
  3. Step 3: Cross multiply
    5,309.75x = 7,964.63 × 1,847
  4. Step 4: Simplify right side
    5,309.75x = 14,710,671.61
  5. Step 5: Solve for x
    x = 14,710,671.61/5,309.75
  6. Step 6: Final answer
    x = 2,770.50

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Similar ratio
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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.