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Finding the Fourth Proportional to 6,093.84, 9,140.68 and 3,494.92

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Solution

The fourth proportional to 6,093.84, 9,140.68 and 3,494.92 is: 5,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.84 : 9,140.68 = 3,494.92 : x
  2. Step 2: Convert to fraction form
    6,093.84/9,140.68 = 3,494.92/x
  3. Step 3: Cross multiply
    6,093.84x = 9,140.68 × 3,494.92
  4. Step 4: Simplify right side
    6,093.84x = 31,945,945.35
  5. Step 5: Solve for x
    x = 31,945,945.35/6,093.84
  6. Step 6: Final answer
    x = 5,242.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.