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Finding the Fourth Proportional to 6,252.86, 8,629.13 and 3,420.40

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Solution

The fourth proportional to 6,252.86, 8,629.13 and 3,420.40 is: 4,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.86 : 8,629.13 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    6,252.86/8,629.13 = 3,420.40/x
  3. Step 3: Cross multiply
    6,252.86x = 8,629.13 × 3,420.40
  4. Step 4: Simplify right side
    6,252.86x = 29,515,076.25
  5. Step 5: Solve for x
    x = 29,515,076.25/6,252.86
  6. Step 6: Final answer
    x = 4,720.25

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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.