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Finding the Fourth Proportional to 4,882.12, 6,734.28 and 3,203.62

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Solution

The fourth proportional to 4,882.12, 6,734.28 and 3,203.62 is: 4,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.12 : 6,734.28 = 3,203.62 : x
  2. Step 2: Convert to fraction form
    4,882.12/6,734.28 = 3,203.62/x
  3. Step 3: Cross multiply
    4,882.12x = 6,734.28 × 3,203.62
  4. Step 4: Simplify right side
    4,882.12x = 21,574,074.09
  5. Step 5: Solve for x
    x = 21,574,074.09/4,882.12
  6. Step 6: Final answer
    x = 4,419.00

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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.