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Finding the Fourth Proportional to 7,103.58, 9,786.60 and 5,610.96

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Solution

The fourth proportional to 7,103.58, 9,786.60 and 5,610.96 is: 7,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.58 : 9,786.60 = 5,610.96 : x
  2. Step 2: Convert to fraction form
    7,103.58/9,786.60 = 5,610.96/x
  3. Step 3: Cross multiply
    7,103.58x = 9,786.60 × 5,610.96
  4. Step 4: Simplify right side
    7,103.58x = 54,912,221.14
  5. Step 5: Solve for x
    x = 54,912,221.14/7,103.58
  6. Step 6: Final answer
    x = 7,730.22

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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.