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Finding the Fourth Proportional to 8,617.86, 11,898.09 and 5,964.30

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Solution

The fourth proportional to 8,617.86, 11,898.09 and 5,964.30 is: 8,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.86 : 11,898.09 = 5,964.30 : x
  2. Step 2: Convert to fraction form
    8,617.86/11,898.09 = 5,964.30/x
  3. Step 3: Cross multiply
    8,617.86x = 11,898.09 × 5,964.30
  4. Step 4: Simplify right side
    8,617.86x = 70,963,778.19
  5. Step 5: Solve for x
    x = 70,963,778.19/8,617.86
  6. Step 6: Final answer
    x = 8,234.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.