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Finding the Fourth Proportional to 6,291.74, 8,682.39 and 3,497.18

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Solution

The fourth proportional to 6,291.74, 8,682.39 and 3,497.18 is: 4,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.74 : 8,682.39 = 3,497.18 : x
  2. Step 2: Convert to fraction form
    6,291.74/8,682.39 = 3,497.18/x
  3. Step 3: Cross multiply
    6,291.74x = 8,682.39 × 3,497.18
  4. Step 4: Simplify right side
    6,291.74x = 30,363,880.66
  5. Step 5: Solve for x
    x = 30,363,880.66/6,291.74
  6. Step 6: Final answer
    x = 4,825.99

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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.