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Finding the Fourth Proportional to 7,745.13, 10,691.10 and 4,764.96

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Solution

The fourth proportional to 7,745.13, 10,691.10 and 4,764.96 is: 6,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.13 : 10,691.10 = 4,764.96 : x
  2. Step 2: Convert to fraction form
    7,745.13/10,691.10 = 4,764.96/x
  3. Step 3: Cross multiply
    7,745.13x = 10,691.10 × 4,764.96
  4. Step 4: Simplify right side
    7,745.13x = 50,942,663.86
  5. Step 5: Solve for x
    x = 50,942,663.86/7,745.13
  6. Step 6: Final answer
    x = 6,577.38

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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.