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Finding the Fourth Proportional to 11,665.72, 16,098.92 and 6,360.53

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Solution

The fourth proportional to 11,665.72, 16,098.92 and 6,360.53 is: 8,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.72 : 16,098.92 = 6,360.53 : x
  2. Step 2: Convert to fraction form
    11,665.72/16,098.92 = 6,360.53/x
  3. Step 3: Cross multiply
    11,665.72x = 16,098.92 × 6,360.53
  4. Step 4: Simplify right side
    11,665.72x = 102,397,575.18
  5. Step 5: Solve for x
    x = 102,397,575.18/11,665.72
  6. Step 6: Final answer
    x = 8,777.65

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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.