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Finding the Fourth Proportional to 8,734, 13,096.74 and 4,354

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Solution

The fourth proportional to 8,734, 13,096.74 and 4,354 is: 6,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734 : 13,096.74 = 4,354 : x
  2. Step 2: Convert to fraction form
    8,734/13,096.74 = 4,354/x
  3. Step 3: Cross multiply
    8,734x = 13,096.74 × 4,354
  4. Step 4: Simplify right side
    8,734x = 57,023,205.96
  5. Step 5: Solve for x
    x = 57,023,205.96/8,734
  6. Step 6: Final answer
    x = 6,528.88

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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.