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Finding the Fourth Proportional to 6,658.92, 9,986.66 and 1,977.82

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Solution

The fourth proportional to 6,658.92, 9,986.66 and 1,977.82 is: 2,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.92 : 9,986.66 = 1,977.82 : x
  2. Step 2: Convert to fraction form
    6,658.92/9,986.66 = 1,977.82/x
  3. Step 3: Cross multiply
    6,658.92x = 9,986.66 × 1,977.82
  4. Step 4: Simplify right side
    6,658.92x = 19,751,815.88
  5. Step 5: Solve for x
    x = 19,751,815.88/6,658.92
  6. Step 6: Final answer
    x = 2,966.22

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1.5x scale

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.