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Finding the Fourth Proportional to 8,270.94, 12,376.68 and 6,074.22

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Solution

The fourth proportional to 8,270.94, 12,376.68 and 6,074.22 is: 9,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.94 : 12,376.68 = 6,074.22 : x
  2. Step 2: Convert to fraction form
    8,270.94/12,376.68 = 6,074.22/x
  3. Step 3: Cross multiply
    8,270.94x = 12,376.68 × 6,074.22
  4. Step 4: Simplify right side
    8,270.94x = 75,178,677.19
  5. Step 5: Solve for x
    x = 75,178,677.19/8,270.94
  6. Step 6: Final answer
    x = 9,089.50

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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.