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Finding the Fourth Proportional to 6,325.35, 9,487.74 and 2,165.73

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Solution

The fourth proportional to 6,325.35, 9,487.74 and 2,165.73 is: 3,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.35 : 9,487.74 = 2,165.73 : x
  2. Step 2: Convert to fraction form
    6,325.35/9,487.74 = 2,165.73/x
  3. Step 3: Cross multiply
    6,325.35x = 9,487.74 × 2,165.73
  4. Step 4: Simplify right side
    6,325.35x = 20,547,883.15
  5. Step 5: Solve for x
    x = 20,547,883.15/6,325.35
  6. Step 6: Final answer
    x = 3,248.50

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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.