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Finding the Fourth Proportional to 8,141.91, 12,214.53 and 3,461.91

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Solution

The fourth proportional to 8,141.91, 12,214.53 and 3,461.91 is: 5,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.91 : 12,214.53 = 3,461.91 : x
  2. Step 2: Convert to fraction form
    8,141.91/12,214.53 = 3,461.91/x
  3. Step 3: Cross multiply
    8,141.91x = 12,214.53 × 3,461.91
  4. Step 4: Simplify right side
    8,141.91x = 42,285,603.55
  5. Step 5: Solve for x
    x = 42,285,603.55/8,141.91
  6. Step 6: Final answer
    x = 5,193.57

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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.