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Finding the Fourth Proportional to 6,093.84, 8,410.14 and 4,204.80

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Solution

The fourth proportional to 6,093.84, 8,410.14 and 4,204.80 is: 5,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.84 : 8,410.14 = 4,204.80 : x
  2. Step 2: Convert to fraction form
    6,093.84/8,410.14 = 4,204.80/x
  3. Step 3: Cross multiply
    6,093.84x = 8,410.14 × 4,204.80
  4. Step 4: Simplify right side
    6,093.84x = 35,362,956.67
  5. Step 5: Solve for x
    x = 35,362,956.67/6,093.84
  6. Step 6: Final answer
    x = 5,803.07

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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.