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Finding the Fourth Proportional to 11,464, 15,820.56 and 6,496

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Solution

The fourth proportional to 11,464, 15,820.56 and 6,496 is: 8,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 15,820.56 = 6,496 : x
  2. Step 2: Convert to fraction form
    11,464/15,820.56 = 6,496/x
  3. Step 3: Cross multiply
    11,464x = 15,820.56 × 6,496
  4. Step 4: Simplify right side
    11,464x = 102,770,357.76
  5. Step 5: Solve for x
    x = 102,770,357.76/11,464
  6. Step 6: Final answer
    x = 8,964.62

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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.