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Finding the Fourth Proportional to 6,658.67, 9,986.29 and 1,977.57

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Solution

The fourth proportional to 6,658.67, 9,986.29 and 1,977.57 is: 2,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.67 : 9,986.29 = 1,977.57 : x
  2. Step 2: Convert to fraction form
    6,658.67/9,986.29 = 1,977.57/x
  3. Step 3: Cross multiply
    6,658.67x = 9,986.29 × 1,977.57
  4. Step 4: Simplify right side
    6,658.67x = 19,748,582.57
  5. Step 5: Solve for x
    x = 19,748,582.57/6,658.67
  6. Step 6: Final answer
    x = 2,965.85

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