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Finding the Fourth Proportional to 6,545.71, 9,813.77 and 2,100.84

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Solution

The fourth proportional to 6,545.71, 9,813.77 and 2,100.84 is: 3,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.71 : 9,813.77 = 2,100.84 : x
  2. Step 2: Convert to fraction form
    6,545.71/9,813.77 = 2,100.84/x
  3. Step 3: Cross multiply
    6,545.71x = 9,813.77 × 2,100.84
  4. Step 4: Simplify right side
    6,545.71x = 20,617,111.50
  5. Step 5: Solve for x
    x = 20,617,111.50/6,545.71
  6. Step 6: Final answer
    x = 3,149.72

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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.