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Finding the Fourth Proportional to 11,666.72, 16,099.44 and 6,698.72

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Solution

The fourth proportional to 11,666.72, 16,099.44 and 6,698.72 is: 9,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.72 : 16,099.44 = 6,698.72 : x
  2. Step 2: Convert to fraction form
    11,666.72/16,099.44 = 6,698.72/x
  3. Step 3: Cross multiply
    11,666.72x = 16,099.44 × 6,698.72
  4. Step 4: Simplify right side
    11,666.72x = 107,845,640.72
  5. Step 5: Solve for x
    x = 107,845,640.72/11,666.72
  6. Step 6: Final answer
    x = 9,243.87

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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.