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Finding the Fourth Proportional to 13,690.84, 18,893.39 and 8,024.45

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Solution

The fourth proportional to 13,690.84, 18,893.39 and 8,024.45 is: 11,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.84 : 18,893.39 = 8,024.45 : x
  2. Step 2: Convert to fraction form
    13,690.84/18,893.39 = 8,024.45/x
  3. Step 3: Cross multiply
    13,690.84x = 18,893.39 × 8,024.45
  4. Step 4: Simplify right side
    13,690.84x = 151,609,035.07
  5. Step 5: Solve for x
    x = 151,609,035.07/13,690.84
  6. Step 6: Final answer
    x = 11,073.76

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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.