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Finding the Fourth Proportional to 7,770.68, 10,723.82 and 4,745.11

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Solution

The fourth proportional to 7,770.68, 10,723.82 and 4,745.11 is: 6,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.68 : 10,723.82 = 4,745.11 : x
  2. Step 2: Convert to fraction form
    7,770.68/10,723.82 = 4,745.11/x
  3. Step 3: Cross multiply
    7,770.68x = 10,723.82 × 4,745.11
  4. Step 4: Simplify right side
    7,770.68x = 50,885,658.28
  5. Step 5: Solve for x
    x = 50,885,658.28/7,770.68
  6. Step 6: Final answer
    x = 6,548.41

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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.