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Finding the Fourth Proportional to 11,593.16, 17,380.38 and 4,661

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Solution

The fourth proportional to 11,593.16, 17,380.38 and 4,661 is: 6,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.16 : 17,380.38 = 4,661 : x
  2. Step 2: Convert to fraction form
    11,593.16/17,380.38 = 4,661/x
  3. Step 3: Cross multiply
    11,593.16x = 17,380.38 × 4,661
  4. Step 4: Simplify right side
    11,593.16x = 81,009,951.18
  5. Step 5: Solve for x
    x = 81,009,951.18/11,593.16
  6. Step 6: Final answer
    x = 6,987.74

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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.