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Finding the Fourth Proportional to 8,147.82, 12,220.64 and 2,304.94

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Solution

The fourth proportional to 8,147.82, 12,220.64 and 2,304.94 is: 3,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.82 : 12,220.64 = 2,304.94 : x
  2. Step 2: Convert to fraction form
    8,147.82/12,220.64 = 2,304.94/x
  3. Step 3: Cross multiply
    8,147.82x = 12,220.64 × 2,304.94
  4. Step 4: Simplify right side
    8,147.82x = 28,167,841.96
  5. Step 5: Solve for x
    x = 28,167,841.96/8,147.82
  6. Step 6: Final answer
    x = 3,457.10

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1.5x scale

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.