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Finding the Fourth Proportional to 7,067.60, 9,733.56 and 6,914.54

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Solution

The fourth proportional to 7,067.60, 9,733.56 and 6,914.54 is: 9,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.60 : 9,733.56 = 6,914.54 : x
  2. Step 2: Convert to fraction form
    7,067.60/9,733.56 = 6,914.54/x
  3. Step 3: Cross multiply
    7,067.60x = 9,733.56 × 6,914.54
  4. Step 4: Simplify right side
    7,067.60x = 67,303,089.96
  5. Step 5: Solve for x
    x = 67,303,089.96/7,067.60
  6. Step 6: Final answer
    x = 9,522.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.