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Finding the Fourth Proportional to 5,847.94, 8,770.80 and 1,951.30

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Solution

The fourth proportional to 5,847.94, 8,770.80 and 1,951.30 is: 2,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.94 : 8,770.80 = 1,951.30 : x
  2. Step 2: Convert to fraction form
    5,847.94/8,770.80 = 1,951.30/x
  3. Step 3: Cross multiply
    5,847.94x = 8,770.80 × 1,951.30
  4. Step 4: Simplify right side
    5,847.94x = 17,114,462.04
  5. Step 5: Solve for x
    x = 17,114,462.04/5,847.94
  6. Step 6: Final answer
    x = 2,926.58

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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.