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Finding the Fourth Proportional to 7,709.33, 10,682.85 and 7,241.15

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Solution

The fourth proportional to 7,709.33, 10,682.85 and 7,241.15 is: 10,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.33 : 10,682.85 = 7,241.15 : x
  2. Step 2: Convert to fraction form
    7,709.33/10,682.85 = 7,241.15/x
  3. Step 3: Cross multiply
    7,709.33x = 10,682.85 × 7,241.15
  4. Step 4: Simplify right side
    7,709.33x = 77,356,119.28
  5. Step 5: Solve for x
    x = 77,356,119.28/7,709.33
  6. Step 6: Final answer
    x = 10,034.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.