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Finding the Fourth Proportional to 4,892.16, 6,750.42 and 3,214.24

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Solution

The fourth proportional to 4,892.16, 6,750.42 and 3,214.24 is: 4,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.16 : 6,750.42 = 3,214.24 : x
  2. Step 2: Convert to fraction form
    4,892.16/6,750.42 = 3,214.24/x
  3. Step 3: Cross multiply
    4,892.16x = 6,750.42 × 3,214.24
  4. Step 4: Simplify right side
    4,892.16x = 21,697,469.98
  5. Step 5: Solve for x
    x = 21,697,469.98/4,892.16
  6. Step 6: Final answer
    x = 4,435.15

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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.