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Finding the Fourth Proportional to 6,486.28, 8,949.81 and 3,834.16

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Solution

The fourth proportional to 6,486.28, 8,949.81 and 3,834.16 is: 5,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.28 : 8,949.81 = 3,834.16 : x
  2. Step 2: Convert to fraction form
    6,486.28/8,949.81 = 3,834.16/x
  3. Step 3: Cross multiply
    6,486.28x = 8,949.81 × 3,834.16
  4. Step 4: Simplify right side
    6,486.28x = 34,315,003.51
  5. Step 5: Solve for x
    x = 34,315,003.51/6,486.28
  6. Step 6: Final answer
    x = 5,290.40

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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.