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Finding the Fourth Proportional to 8,461.56, 12,694.50 and 5,363.58

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Solution

The fourth proportional to 8,461.56, 12,694.50 and 5,363.58 is: 8,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.56 : 12,694.50 = 5,363.58 : x
  2. Step 2: Convert to fraction form
    8,461.56/12,694.50 = 5,363.58/x
  3. Step 3: Cross multiply
    8,461.56x = 12,694.50 × 5,363.58
  4. Step 4: Simplify right side
    8,461.56x = 68,087,966.31
  5. Step 5: Solve for x
    x = 68,087,966.31/8,461.56
  6. Step 6: Final answer
    x = 8,046.74

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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.