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Finding the Fourth Proportional to 7,177.62, 9,904.50 and 4,193.09

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Solution

The fourth proportional to 7,177.62, 9,904.50 and 4,193.09 is: 5,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.62 : 9,904.50 = 4,193.09 : x
  2. Step 2: Convert to fraction form
    7,177.62/9,904.50 = 4,193.09/x
  3. Step 3: Cross multiply
    7,177.62x = 9,904.50 × 4,193.09
  4. Step 4: Simplify right side
    7,177.62x = 41,530,459.91
  5. Step 5: Solve for x
    x = 41,530,459.91/7,177.62
  6. Step 6: Final answer
    x = 5,786.10

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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.