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Finding the Fourth Proportional to 7,196.64, 10,794.02 and 2,817.20

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Solution

The fourth proportional to 7,196.64, 10,794.02 and 2,817.20 is: 4,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.64 : 10,794.02 = 2,817.20 : x
  2. Step 2: Convert to fraction form
    7,196.64/10,794.02 = 2,817.20/x
  3. Step 3: Cross multiply
    7,196.64x = 10,794.02 × 2,817.20
  4. Step 4: Simplify right side
    7,196.64x = 30,408,845.09
  5. Step 5: Solve for x
    x = 30,408,845.09/7,196.64
  6. Step 6: Final answer
    x = 4,225.42

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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.