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Finding the Fourth Proportional to 9,745.50, 13,445.60 and 5,964.72

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Solution

The fourth proportional to 9,745.50, 13,445.60 and 5,964.72 is: 8,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.50 : 13,445.60 = 5,964.72 : x
  2. Step 2: Convert to fraction form
    9,745.50/13,445.60 = 5,964.72/x
  3. Step 3: Cross multiply
    9,745.50x = 13,445.60 × 5,964.72
  4. Step 4: Simplify right side
    9,745.50x = 80,199,239.23
  5. Step 5: Solve for x
    x = 80,199,239.23/9,745.50
  6. Step 6: Final answer
    x = 8,229.36

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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.