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Finding the Fourth Proportional to 13,765.31, 18,994.51 and 8,098.81

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Solution

The fourth proportional to 13,765.31, 18,994.51 and 8,098.81 is: 11,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.31 : 18,994.51 = 8,098.81 : x
  2. Step 2: Convert to fraction form
    13,765.31/18,994.51 = 8,098.81/x
  3. Step 3: Cross multiply
    13,765.31x = 18,994.51 × 8,098.81
  4. Step 4: Simplify right side
    13,765.31x = 153,832,957.90
  5. Step 5: Solve for x
    x = 153,832,957.90/13,765.31
  6. Step 6: Final answer
    x = 11,175.41

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1.5x scale

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.