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Finding the Fourth Proportional to 11,626.56, 16,043.16 and 6,845.16

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Solution

The fourth proportional to 11,626.56, 16,043.16 and 6,845.16 is: 9,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.56 : 16,043.16 = 6,845.16 : x
  2. Step 2: Convert to fraction form
    11,626.56/16,043.16 = 6,845.16/x
  3. Step 3: Cross multiply
    11,626.56x = 16,043.16 × 6,845.16
  4. Step 4: Simplify right side
    11,626.56x = 109,817,997.11
  5. Step 5: Solve for x
    x = 109,817,997.11/11,626.56
  6. Step 6: Final answer
    x = 9,445.44

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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.