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Finding the Fourth Proportional to 15,764.86, 21,755.10 and 8,691.16

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Solution

The fourth proportional to 15,764.86, 21,755.10 and 8,691.16 is: 11,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.86 : 21,755.10 = 8,691.16 : x
  2. Step 2: Convert to fraction form
    15,764.86/21,755.10 = 8,691.16/x
  3. Step 3: Cross multiply
    15,764.86x = 21,755.10 × 8,691.16
  4. Step 4: Simplify right side
    15,764.86x = 189,077,054.92
  5. Step 5: Solve for x
    x = 189,077,054.92/15,764.86
  6. Step 6: Final answer
    x = 11,993.58

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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.