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Finding the Fourth Proportional to 6,482.58, 9,721.80 and 2,099.14

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Solution

The fourth proportional to 6,482.58, 9,721.80 and 2,099.14 is: 3,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.58 : 9,721.80 = 2,099.14 : x
  2. Step 2: Convert to fraction form
    6,482.58/9,721.80 = 2,099.14/x
  3. Step 3: Cross multiply
    6,482.58x = 9,721.80 × 2,099.14
  4. Step 4: Simplify right side
    6,482.58x = 20,407,419.25
  5. Step 5: Solve for x
    x = 20,407,419.25/6,482.58
  6. Step 6: Final answer
    x = 3,148.04

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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.