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Finding the Fourth Proportional to 6,998.24, 9,658.77 and 4,758.59

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Solution

The fourth proportional to 6,998.24, 9,658.77 and 4,758.59 is: 6,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.24 : 9,658.77 = 4,758.59 : x
  2. Step 2: Convert to fraction form
    6,998.24/9,658.77 = 4,758.59/x
  3. Step 3: Cross multiply
    6,998.24x = 9,658.77 × 4,758.59
  4. Step 4: Simplify right side
    6,998.24x = 45,962,126.33
  5. Step 5: Solve for x
    x = 45,962,126.33/6,998.24
  6. Step 6: Final answer
    x = 6,567.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.