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Finding the Fourth Proportional to 8,534, 12,786.44 and 6,056.56

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Solution

The fourth proportional to 8,534, 12,786.44 and 6,056.56 is: 9,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 12,786.44 = 6,056.56 : x
  2. Step 2: Convert to fraction form
    8,534/12,786.44 = 6,056.56/x
  3. Step 3: Cross multiply
    8,534x = 12,786.44 × 6,056.56
  4. Step 4: Simplify right side
    8,534x = 77,441,841.05
  5. Step 5: Solve for x
    x = 77,441,841.05/8,534
  6. Step 6: Final answer
    x = 9,074.51

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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.