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Finding the Fourth Proportional to 6,475.22, 9,711.15 and 1,795.64

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Solution

The fourth proportional to 6,475.22, 9,711.15 and 1,795.64 is: 2,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.22 : 9,711.15 = 1,795.64 : x
  2. Step 2: Convert to fraction form
    6,475.22/9,711.15 = 1,795.64/x
  3. Step 3: Cross multiply
    6,475.22x = 9,711.15 × 1,795.64
  4. Step 4: Simplify right side
    6,475.22x = 17,437,729.39
  5. Step 5: Solve for x
    x = 17,437,729.39/6,475.22
  6. Step 6: Final answer
    x = 2,692.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.