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Finding the Fourth Proportional to 9,777.67, 13,493.40 and 5,797.33

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Solution

The fourth proportional to 9,777.67, 13,493.40 and 5,797.33 is: 8,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.67 : 13,493.40 = 5,797.33 : x
  2. Step 2: Convert to fraction form
    9,777.67/13,493.40 = 5,797.33/x
  3. Step 3: Cross multiply
    9,777.67x = 13,493.40 × 5,797.33
  4. Step 4: Simplify right side
    9,777.67x = 78,225,692.62
  5. Step 5: Solve for x
    x = 78,225,692.62/9,777.67
  6. Step 6: Final answer
    x = 8,000.44

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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.