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Finding the Fourth Proportional to 8,702, 13,053.04 and 2,546

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Solution

The fourth proportional to 8,702, 13,053.04 and 2,546 is: 3,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702 : 13,053.04 = 2,546 : x
  2. Step 2: Convert to fraction form
    8,702/13,053.04 = 2,546/x
  3. Step 3: Cross multiply
    8,702x = 13,053.04 × 2,546
  4. Step 4: Simplify right side
    8,702x = 33,233,039.84
  5. Step 5: Solve for x
    x = 33,233,039.84/8,702
  6. Step 6: Final answer
    x = 3,819.01

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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.