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Finding the Fourth Proportional to 6,287.25, 8,676.81 and 3,492.75

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Solution

The fourth proportional to 6,287.25, 8,676.81 and 3,492.75 is: 4,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.25 : 8,676.81 = 3,492.75 : x
  2. Step 2: Convert to fraction form
    6,287.25/8,676.81 = 3,492.75/x
  3. Step 3: Cross multiply
    6,287.25x = 8,676.81 × 3,492.75
  4. Step 4: Simplify right side
    6,287.25x = 30,305,928.13
  5. Step 5: Solve for x
    x = 30,305,928.13/6,287.25
  6. Step 6: Final answer
    x = 4,820.22

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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.