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Finding the Fourth Proportional to 12,203.64, 18,310.98 and 5,626.32

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Solution

The fourth proportional to 12,203.64, 18,310.98 and 5,626.32 is: 8,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.64 : 18,310.98 = 5,626.32 : x
  2. Step 2: Convert to fraction form
    12,203.64/18,310.98 = 5,626.32/x
  3. Step 3: Cross multiply
    12,203.64x = 18,310.98 × 5,626.32
  4. Step 4: Simplify right side
    12,203.64x = 103,023,432.99
  5. Step 5: Solve for x
    x = 103,023,432.99/12,203.64
  6. Step 6: Final answer
    x = 8,442.02

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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.