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Finding the Fourth Proportional to 6,218.42, 9,329.42 and 3,097.62

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Solution

The fourth proportional to 6,218.42, 9,329.42 and 3,097.62 is: 4,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.42 : 9,329.42 = 3,097.62 : x
  2. Step 2: Convert to fraction form
    6,218.42/9,329.42 = 3,097.62/x
  3. Step 3: Cross multiply
    6,218.42x = 9,329.42 × 3,097.62
  4. Step 4: Simplify right side
    6,218.42x = 28,898,982.49
  5. Step 5: Solve for x
    x = 28,898,982.49/6,218.42
  6. Step 6: Final answer
    x = 4,647.32

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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.