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Finding the Fourth Proportional to 11,229, 15,495.72 and 6,192.96

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Solution

The fourth proportional to 11,229, 15,495.72 and 6,192.96 is: 8,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229 : 15,495.72 = 6,192.96 : x
  2. Step 2: Convert to fraction form
    11,229/15,495.72 = 6,192.96/x
  3. Step 3: Cross multiply
    11,229x = 15,495.72 × 6,192.96
  4. Step 4: Simplify right side
    11,229x = 95,964,374.13
  5. Step 5: Solve for x
    x = 95,964,374.13/11,229
  6. Step 6: Final answer
    x = 8,546.12

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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.