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Finding the Fourth Proportional to 6,589.38, 9,884.08 and 1,659

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Solution

The fourth proportional to 6,589.38, 9,884.08 and 1,659 is: 2,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.38 : 9,884.08 = 1,659 : x
  2. Step 2: Convert to fraction form
    6,589.38/9,884.08 = 1,659/x
  3. Step 3: Cross multiply
    6,589.38x = 9,884.08 × 1,659
  4. Step 4: Simplify right side
    6,589.38x = 16,397,688.72
  5. Step 5: Solve for x
    x = 16,397,688.72/6,589.38
  6. Step 6: Final answer
    x = 2,488.50

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Half scale
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Double scale
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Similar ratio
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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.