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Finding the Fourth Proportional to 6,587.11, 9,868.70 and 3,807.91

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Solution

The fourth proportional to 6,587.11, 9,868.70 and 3,807.91 is: 5,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.11 : 9,868.70 = 3,807.91 : x
  2. Step 2: Convert to fraction form
    6,587.11/9,868.70 = 3,807.91/x
  3. Step 3: Cross multiply
    6,587.11x = 9,868.70 × 3,807.91
  4. Step 4: Simplify right side
    6,587.11x = 37,579,143.27
  5. Step 5: Solve for x
    x = 37,579,143.27/6,587.11
  6. Step 6: Final answer
    x = 5,704.95

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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.