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Finding the Fourth Proportional to 5,704.60, 7,967 and 5,704.60

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Solution

The fourth proportional to 5,704.60, 7,967 and 5,704.60 is: 7,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.60 : 7,967 = 5,704.60 : x
  2. Step 2: Convert to fraction form
    5,704.60/7,967 = 5,704.60/x
  3. Step 3: Cross multiply
    5,704.60x = 7,967 × 5,704.60
  4. Step 4: Simplify right side
    5,704.60x = 45,448,548.20
  5. Step 5: Solve for x
    x = 45,448,548.20/5,704.60
  6. Step 6: Final answer
    x = 7,967

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.