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Finding the Fourth Proportional to 4,063, 6,098.64 and 2,742.64

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Solution

The fourth proportional to 4,063, 6,098.64 and 2,742.64 is: 4,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063 : 6,098.64 = 2,742.64 : x
  2. Step 2: Convert to fraction form
    4,063/6,098.64 = 2,742.64/x
  3. Step 3: Cross multiply
    4,063x = 6,098.64 × 2,742.64
  4. Step 4: Simplify right side
    4,063x = 16,726,374.01
  5. Step 5: Solve for x
    x = 16,726,374.01/4,063
  6. Step 6: Final answer
    x = 4,116.75

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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.