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Finding the Fourth Proportional to 6,545.28, 9,811.89 and 2,384.28

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Solution

The fourth proportional to 6,545.28, 9,811.89 and 2,384.28 is: 3,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.28 : 9,811.89 = 2,384.28 : x
  2. Step 2: Convert to fraction form
    6,545.28/9,811.89 = 2,384.28/x
  3. Step 3: Cross multiply
    6,545.28x = 9,811.89 × 2,384.28
  4. Step 4: Simplify right side
    6,545.28x = 23,394,293.09
  5. Step 5: Solve for x
    x = 23,394,293.09/6,545.28
  6. Step 6: Final answer
    x = 3,574.22

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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.