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Finding the Fourth Proportional to 6,449.17, 9,673.80 and 2,066.80

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Solution

The fourth proportional to 6,449.17, 9,673.80 and 2,066.80 is: 3,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.17 : 9,673.80 = 2,066.80 : x
  2. Step 2: Convert to fraction form
    6,449.17/9,673.80 = 2,066.80/x
  3. Step 3: Cross multiply
    6,449.17x = 9,673.80 × 2,066.80
  4. Step 4: Simplify right side
    6,449.17x = 19,993,809.84
  5. Step 5: Solve for x
    x = 19,993,809.84/6,449.17
  6. Step 6: Final answer
    x = 3,100.21

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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.