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Finding the Fourth Proportional to 6,589.93, 9,884.16 and 1,659.57

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Solution

The fourth proportional to 6,589.93, 9,884.16 and 1,659.57 is: 2,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.93 : 9,884.16 = 1,659.57 : x
  2. Step 2: Convert to fraction form
    6,589.93/9,884.16 = 1,659.57/x
  3. Step 3: Cross multiply
    6,589.93x = 9,884.16 × 1,659.57
  4. Step 4: Simplify right side
    6,589.93x = 16,403,410.14
  5. Step 5: Solve for x
    x = 16,403,410.14/6,589.93
  6. Step 6: Final answer
    x = 2,489.16

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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.