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Finding the Fourth Proportional to 6,293.88, 8,684.91 and 3,642.12

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Solution

The fourth proportional to 6,293.88, 8,684.91 and 3,642.12 is: 5,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.88 : 8,684.91 = 3,642.12 : x
  2. Step 2: Convert to fraction form
    6,293.88/8,684.91 = 3,642.12/x
  3. Step 3: Cross multiply
    6,293.88x = 8,684.91 × 3,642.12
  4. Step 4: Simplify right side
    6,293.88x = 31,631,484.41
  5. Step 5: Solve for x
    x = 31,631,484.41/6,293.88
  6. Step 6: Final answer
    x = 5,025.75

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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.