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Finding the Fourth Proportional to 11,599.56, 17,377.47 and 8,989.74

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Solution

The fourth proportional to 11,599.56, 17,377.47 and 8,989.74 is: 13,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.56 : 17,377.47 = 8,989.74 : x
  2. Step 2: Convert to fraction form
    11,599.56/17,377.47 = 8,989.74/x
  3. Step 3: Cross multiply
    11,599.56x = 17,377.47 × 8,989.74
  4. Step 4: Simplify right side
    11,599.56x = 156,218,937.16
  5. Step 5: Solve for x
    x = 156,218,937.16/11,599.56
  6. Step 6: Final answer
    x = 13,467.66

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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.