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Finding the Fourth Proportional to 6,589.98, 9,899.55 and 6,382.62

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Solution

The fourth proportional to 6,589.98, 9,899.55 and 6,382.62 is: 9,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.98 : 9,899.55 = 6,382.62 : x
  2. Step 2: Convert to fraction form
    6,589.98/9,899.55 = 6,382.62/x
  3. Step 3: Cross multiply
    6,589.98x = 9,899.55 × 6,382.62
  4. Step 4: Simplify right side
    6,589.98x = 63,185,065.82
  5. Step 5: Solve for x
    x = 63,185,065.82/6,589.98
  6. Step 6: Final answer
    x = 9,588.05

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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.