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Finding the Fourth Proportional to 8,146.58, 12,214.40 and 3,214.89

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Solution

The fourth proportional to 8,146.58, 12,214.40 and 3,214.89 is: 4,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.58 : 12,214.40 = 3,214.89 : x
  2. Step 2: Convert to fraction form
    8,146.58/12,214.40 = 3,214.89/x
  3. Step 3: Cross multiply
    8,146.58x = 12,214.40 × 3,214.89
  4. Step 4: Simplify right side
    8,146.58x = 39,267,936.34
  5. Step 5: Solve for x
    x = 39,267,936.34/8,146.58
  6. Step 6: Final answer
    x = 4,820.18

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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.