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Finding the Fourth Proportional to 11,231, 15,499.26 and 6,263

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Solution

The fourth proportional to 11,231, 15,499.26 and 6,263 is: 8,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231 : 15,499.26 = 6,263 : x
  2. Step 2: Convert to fraction form
    11,231/15,499.26 = 6,263/x
  3. Step 3: Cross multiply
    11,231x = 15,499.26 × 6,263
  4. Step 4: Simplify right side
    11,231x = 97,071,865.38
  5. Step 5: Solve for x
    x = 97,071,865.38/11,231
  6. Step 6: Final answer
    x = 8,643.21

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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.