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Finding the Fourth Proportional to 9,196.40, 13,794.60 and 4,264.40

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Solution

The fourth proportional to 9,196.40, 13,794.60 and 4,264.40 is: 6,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.40 : 13,794.60 = 4,264.40 : x
  2. Step 2: Convert to fraction form
    9,196.40/13,794.60 = 4,264.40/x
  3. Step 3: Cross multiply
    9,196.40x = 13,794.60 × 4,264.40
  4. Step 4: Simplify right side
    9,196.40x = 58,825,692.24
  5. Step 5: Solve for x
    x = 58,825,692.24/9,196.40
  6. Step 6: Final answer
    x = 6,396.60

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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.