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Finding the Fourth Proportional to 6,482.13, 9,720.74 and 2,098.41

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Solution

The fourth proportional to 6,482.13, 9,720.74 and 2,098.41 is: 3,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.13 : 9,720.74 = 2,098.41 : x
  2. Step 2: Convert to fraction form
    6,482.13/9,720.74 = 2,098.41/x
  3. Step 3: Cross multiply
    6,482.13x = 9,720.74 × 2,098.41
  4. Step 4: Simplify right side
    6,482.13x = 20,398,066.82
  5. Step 5: Solve for x
    x = 20,398,066.82/6,482.13
  6. Step 6: Final answer
    x = 3,146.82

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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.