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Finding the Fourth Proportional to 10,447, 15,663.48 and 4,116.09

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Solution

The fourth proportional to 10,447, 15,663.48 and 4,116.09 is: 6,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447 : 15,663.48 = 4,116.09 : x
  2. Step 2: Convert to fraction form
    10,447/15,663.48 = 4,116.09/x
  3. Step 3: Cross multiply
    10,447x = 15,663.48 × 4,116.09
  4. Step 4: Simplify right side
    10,447x = 64,472,293.39
  5. Step 5: Solve for x
    x = 64,472,293.39/10,447
  6. Step 6: Final answer
    x = 6,171.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.