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Finding the Fourth Proportional to 6,412.96, 9,620.25 and 2,028.84

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Solution

The fourth proportional to 6,412.96, 9,620.25 and 2,028.84 is: 3,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.96 : 9,620.25 = 2,028.84 : x
  2. Step 2: Convert to fraction form
    6,412.96/9,620.25 = 2,028.84/x
  3. Step 3: Cross multiply
    6,412.96x = 9,620.25 × 2,028.84
  4. Step 4: Simplify right side
    6,412.96x = 19,517,948.01
  5. Step 5: Solve for x
    x = 19,517,948.01/6,412.96
  6. Step 6: Final answer
    x = 3,043.52

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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.