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Finding the Fourth Proportional to 6,203.84, 9,284.96 and 5,093.19

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Solution

The fourth proportional to 6,203.84, 9,284.96 and 5,093.19 is: 7,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.84 : 9,284.96 = 5,093.19 : x
  2. Step 2: Convert to fraction form
    6,203.84/9,284.96 = 5,093.19/x
  3. Step 3: Cross multiply
    6,203.84x = 9,284.96 × 5,093.19
  4. Step 4: Simplify right side
    6,203.84x = 47,290,065.42
  5. Step 5: Solve for x
    x = 47,290,065.42/6,203.84
  6. Step 6: Final answer
    x = 7,622.71

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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.