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Finding the Fourth Proportional to 11,664.50, 16,097.65 and 6,696.82

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Solution

The fourth proportional to 11,664.50, 16,097.65 and 6,696.82 is: 9,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.50 : 16,097.65 = 6,696.82 : x
  2. Step 2: Convert to fraction form
    11,664.50/16,097.65 = 6,696.82/x
  3. Step 3: Cross multiply
    11,664.50x = 16,097.65 × 6,696.82
  4. Step 4: Simplify right side
    11,664.50x = 107,803,064.47
  5. Step 5: Solve for x
    x = 107,803,064.47/11,664.50
  6. Step 6: Final answer
    x = 9,241.98

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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.