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Finding the Fourth Proportional to 7,544.02, 11,314.54 and 3,794.80

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Solution

The fourth proportional to 7,544.02, 11,314.54 and 3,794.80 is: 5,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.02 : 11,314.54 = 3,794.80 : x
  2. Step 2: Convert to fraction form
    7,544.02/11,314.54 = 3,794.80/x
  3. Step 3: Cross multiply
    7,544.02x = 11,314.54 × 3,794.80
  4. Step 4: Simplify right side
    7,544.02x = 42,936,416.39
  5. Step 5: Solve for x
    x = 42,936,416.39/7,544.02
  6. Step 6: Final answer
    x = 5,691.45

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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.