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Finding the Fourth Proportional to 9,196.64, 13,794.88 and 3,649.76

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Solution

The fourth proportional to 9,196.64, 13,794.88 and 3,649.76 is: 5,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.64 : 13,794.88 = 3,649.76 : x
  2. Step 2: Convert to fraction form
    9,196.64/13,794.88 = 3,649.76/x
  3. Step 3: Cross multiply
    9,196.64x = 13,794.88 × 3,649.76
  4. Step 4: Simplify right side
    9,196.64x = 50,348,001.23
  5. Step 5: Solve for x
    x = 50,348,001.23/9,196.64
  6. Step 6: Final answer
    x = 5,474.61

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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.