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Finding the Fourth Proportional to 9,766.52, 13,468.94 and 6,408.06

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Solution

The fourth proportional to 9,766.52, 13,468.94 and 6,408.06 is: 8,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.52 : 13,468.94 = 6,408.06 : x
  2. Step 2: Convert to fraction form
    9,766.52/13,468.94 = 6,408.06/x
  3. Step 3: Cross multiply
    9,766.52x = 13,468.94 × 6,408.06
  4. Step 4: Simplify right side
    9,766.52x = 86,309,676.27
  5. Step 5: Solve for x
    x = 86,309,676.27/9,766.52
  6. Step 6: Final answer
    x = 8,837.30

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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.