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Finding the Fourth Proportional to 22,396.64, 33,601.98 and 9,255.20

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Solution

The fourth proportional to 22,396.64, 33,601.98 and 9,255.20 is: 13,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.64 : 33,601.98 = 9,255.20 : x
  2. Step 2: Convert to fraction form
    22,396.64/33,601.98 = 9,255.20/x
  3. Step 3: Cross multiply
    22,396.64x = 33,601.98 × 9,255.20
  4. Step 4: Simplify right side
    22,396.64x = 310,993,045.30
  5. Step 5: Solve for x
    x = 310,993,045.30/22,396.64
  6. Step 6: Final answer
    x = 13,885.70

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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.