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Finding the Fourth Proportional to 6,122.64, 8,451.84 and 4,135.90

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Solution

The fourth proportional to 6,122.64, 8,451.84 and 4,135.90 is: 5,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.64 : 8,451.84 = 4,135.90 : x
  2. Step 2: Convert to fraction form
    6,122.64/8,451.84 = 4,135.90/x
  3. Step 3: Cross multiply
    6,122.64x = 8,451.84 × 4,135.90
  4. Step 4: Simplify right side
    6,122.64x = 34,955,965.06
  5. Step 5: Solve for x
    x = 34,955,965.06/6,122.64
  6. Step 6: Final answer
    x = 5,709.30

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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.