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Finding the Fourth Proportional to 11,599.74, 17,399.61 and 6,981.66

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Solution

The fourth proportional to 11,599.74, 17,399.61 and 6,981.66 is: 10,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.74 : 17,399.61 = 6,981.66 : x
  2. Step 2: Convert to fraction form
    11,599.74/17,399.61 = 6,981.66/x
  3. Step 3: Cross multiply
    11,599.74x = 17,399.61 × 6,981.66
  4. Step 4: Simplify right side
    11,599.74x = 121,478,161.15
  5. Step 5: Solve for x
    x = 121,478,161.15/11,599.74
  6. Step 6: Final answer
    x = 10,472.49

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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.