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Finding the Fourth Proportional to 11,604.40, 17,363.40 and 7,716.40

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Solution

The fourth proportional to 11,604.40, 17,363.40 and 7,716.40 is: 11,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.40 : 17,363.40 = 7,716.40 : x
  2. Step 2: Convert to fraction form
    11,604.40/17,363.40 = 7,716.40/x
  3. Step 3: Cross multiply
    11,604.40x = 17,363.40 × 7,716.40
  4. Step 4: Simplify right side
    11,604.40x = 133,982,939.76
  5. Step 5: Solve for x
    x = 133,982,939.76/11,604.40
  6. Step 6: Final answer
    x = 11,545.87

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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.