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Finding the Fourth Proportional to 11,664.61, 16,097.39 and 6,359.65

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Solution

The fourth proportional to 11,664.61, 16,097.39 and 6,359.65 is: 8,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.61 : 16,097.39 = 6,359.65 : x
  2. Step 2: Convert to fraction form
    11,664.61/16,097.39 = 6,359.65/x
  3. Step 3: Cross multiply
    11,664.61x = 16,097.39 × 6,359.65
  4. Step 4: Simplify right side
    11,664.61x = 102,373,734.52
  5. Step 5: Solve for x
    x = 102,373,734.52/11,664.61
  6. Step 6: Final answer
    x = 8,776.44

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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.