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Finding the Fourth Proportional to 11,714.92, 16,167.94 and 6,541.32

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Solution

The fourth proportional to 11,714.92, 16,167.94 and 6,541.32 is: 9,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.92 : 16,167.94 = 6,541.32 : x
  2. Step 2: Convert to fraction form
    11,714.92/16,167.94 = 6,541.32/x
  3. Step 3: Cross multiply
    11,714.92x = 16,167.94 × 6,541.32
  4. Step 4: Simplify right side
    11,714.92x = 105,759,669.28
  5. Step 5: Solve for x
    x = 105,759,669.28/11,714.92
  6. Step 6: Final answer
    x = 9,027.78

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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.