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Finding the Fourth Proportional to 11,451, 15,802.38 and 6,483

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Solution

The fourth proportional to 11,451, 15,802.38 and 6,483 is: 8,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451 : 15,802.38 = 6,483 : x
  2. Step 2: Convert to fraction form
    11,451/15,802.38 = 6,483/x
  3. Step 3: Cross multiply
    11,451x = 15,802.38 × 6,483
  4. Step 4: Simplify right side
    11,451x = 102,446,829.54
  5. Step 5: Solve for x
    x = 102,446,829.54/11,451
  6. Step 6: Final answer
    x = 8,946.54

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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.