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Finding the Fourth Proportional to 7,101.36, 9,794.52 and 6,682.80

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Solution

The fourth proportional to 7,101.36, 9,794.52 and 6,682.80 is: 9,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.36 : 9,794.52 = 6,682.80 : x
  2. Step 2: Convert to fraction form
    7,101.36/9,794.52 = 6,682.80/x
  3. Step 3: Cross multiply
    7,101.36x = 9,794.52 × 6,682.80
  4. Step 4: Simplify right side
    7,101.36x = 65,454,818.26
  5. Step 5: Solve for x
    x = 65,454,818.26/7,101.36
  6. Step 6: Final answer
    x = 9,217.22

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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.