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Finding the Fourth Proportional to 6,398.78, 8,827.46 and 3,745.02

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Solution

The fourth proportional to 6,398.78, 8,827.46 and 3,745.02 is: 5,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.78 : 8,827.46 = 3,745.02 : x
  2. Step 2: Convert to fraction form
    6,398.78/8,827.46 = 3,745.02/x
  3. Step 3: Cross multiply
    6,398.78x = 8,827.46 × 3,745.02
  4. Step 4: Simplify right side
    6,398.78x = 33,058,995.52
  5. Step 5: Solve for x
    x = 33,058,995.52/6,398.78
  6. Step 6: Final answer
    x = 5,166.46

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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.