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Finding the Fourth Proportional to 6,249.32, 9,365.84 and 2,547.21

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Solution

The fourth proportional to 6,249.32, 9,365.84 and 2,547.21 is: 3,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.32 : 9,365.84 = 2,547.21 : x
  2. Step 2: Convert to fraction form
    6,249.32/9,365.84 = 2,547.21/x
  3. Step 3: Cross multiply
    6,249.32x = 9,365.84 × 2,547.21
  4. Step 4: Simplify right side
    6,249.32x = 23,856,748.57
  5. Step 5: Solve for x
    x = 23,856,748.57/6,249.32
  6. Step 6: Final answer
    x = 3,817.50

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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.