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Finding the Fourth Proportional to 11,828.96, 17,755.73 and 8,712.48

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Solution

The fourth proportional to 11,828.96, 17,755.73 and 8,712.48 is: 13,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.96 : 17,755.73 = 8,712.48 : x
  2. Step 2: Convert to fraction form
    11,828.96/17,755.73 = 8,712.48/x
  3. Step 3: Cross multiply
    11,828.96x = 17,755.73 × 8,712.48
  4. Step 4: Simplify right side
    11,828.96x = 154,696,442.51
  5. Step 5: Solve for x
    x = 154,696,442.51/11,828.96
  6. Step 6: Final answer
    x = 13,077.78

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1.5x scale

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.