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Finding the Fourth Proportional to 6,704.78, 10,056.02 and 1,774.49

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Solution

The fourth proportional to 6,704.78, 10,056.02 and 1,774.49 is: 2,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.78 : 10,056.02 = 1,774.49 : x
  2. Step 2: Convert to fraction form
    6,704.78/10,056.02 = 1,774.49/x
  3. Step 3: Cross multiply
    6,704.78x = 10,056.02 × 1,774.49
  4. Step 4: Simplify right side
    6,704.78x = 17,844,247.78
  5. Step 5: Solve for x
    x = 17,844,247.78/6,704.78
  6. Step 6: Final answer
    x = 2,661.42

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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.