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Finding the Fourth Proportional to 6,508.80, 8,982.09 and 3,637.08

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Solution

The fourth proportional to 6,508.80, 8,982.09 and 3,637.08 is: 5,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.80 : 8,982.09 = 3,637.08 : x
  2. Step 2: Convert to fraction form
    6,508.80/8,982.09 = 3,637.08/x
  3. Step 3: Cross multiply
    6,508.80x = 8,982.09 × 3,637.08
  4. Step 4: Simplify right side
    6,508.80x = 32,668,579.90
  5. Step 5: Solve for x
    x = 32,668,579.90/6,508.80
  6. Step 6: Final answer
    x = 5,019.14

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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.