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Finding the Fourth Proportional to 6,297.68, 8,684.04 and 4,202

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Solution

The fourth proportional to 6,297.68, 8,684.04 and 4,202 is: 5,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.68 : 8,684.04 = 4,202 : x
  2. Step 2: Convert to fraction form
    6,297.68/8,684.04 = 4,202/x
  3. Step 3: Cross multiply
    6,297.68x = 8,684.04 × 4,202
  4. Step 4: Simplify right side
    6,297.68x = 36,490,336.08
  5. Step 5: Solve for x
    x = 36,490,336.08/6,297.68
  6. Step 6: Final answer
    x = 5,794.25

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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.