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Finding the Fourth Proportional to 9,083.68, 13,626.10 and 2,420.07

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Solution

The fourth proportional to 9,083.68, 13,626.10 and 2,420.07 is: 3,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.68 : 13,626.10 = 2,420.07 : x
  2. Step 2: Convert to fraction form
    9,083.68/13,626.10 = 2,420.07/x
  3. Step 3: Cross multiply
    9,083.68x = 13,626.10 × 2,420.07
  4. Step 4: Simplify right side
    9,083.68x = 32,976,115.83
  5. Step 5: Solve for x
    x = 32,976,115.83/9,083.68
  6. Step 6: Final answer
    x = 3,630.26

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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.