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Finding the Fourth Proportional to 6,093.84, 8,409.03 and 3,441.48

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Solution

The fourth proportional to 6,093.84, 8,409.03 and 3,441.48 is: 4,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.84 : 8,409.03 = 3,441.48 : x
  2. Step 2: Convert to fraction form
    6,093.84/8,409.03 = 3,441.48/x
  3. Step 3: Cross multiply
    6,093.84x = 8,409.03 × 3,441.48
  4. Step 4: Simplify right side
    6,093.84x = 28,939,508.56
  5. Step 5: Solve for x
    x = 28,939,508.56/6,093.84
  6. Step 6: Final answer
    x = 4,748.98

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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.