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Finding the Fourth Proportional to 5,847.66, 8,771.49 and 1,952.10

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Solution

The fourth proportional to 5,847.66, 8,771.49 and 1,952.10 is: 2,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.66 : 8,771.49 = 1,952.10 : x
  2. Step 2: Convert to fraction form
    5,847.66/8,771.49 = 1,952.10/x
  3. Step 3: Cross multiply
    5,847.66x = 8,771.49 × 1,952.10
  4. Step 4: Simplify right side
    5,847.66x = 17,122,825.63
  5. Step 5: Solve for x
    x = 17,122,825.63/5,847.66
  6. Step 6: Final answer
    x = 2,928.15

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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.