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Finding the Fourth Proportional to 8,563.86, 12,843.54 and 3,299.58

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Solution

The fourth proportional to 8,563.86, 12,843.54 and 3,299.58 is: 4,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.86 : 12,843.54 = 3,299.58 : x
  2. Step 2: Convert to fraction form
    8,563.86/12,843.54 = 3,299.58/x
  3. Step 3: Cross multiply
    8,563.86x = 12,843.54 × 3,299.58
  4. Step 4: Simplify right side
    8,563.86x = 42,378,287.71
  5. Step 5: Solve for x
    x = 42,378,287.71/8,563.86
  6. Step 6: Final answer
    x = 4,948.50

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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.