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Finding the Fourth Proportional to 11,714.66, 16,164.63 and 6,997.94

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Solution

The fourth proportional to 11,714.66, 16,164.63 and 6,997.94 is: 9,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.66 : 16,164.63 = 6,997.94 : x
  2. Step 2: Convert to fraction form
    11,714.66/16,164.63 = 6,997.94/x
  3. Step 3: Cross multiply
    11,714.66x = 16,164.63 × 6,997.94
  4. Step 4: Simplify right side
    11,714.66x = 113,119,110.86
  5. Step 5: Solve for x
    x = 113,119,110.86/11,714.66
  6. Step 6: Final answer
    x = 9,656.20

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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.