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Finding the Fourth Proportional to 10,099, 13,936.68 and 5,683

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Solution

The fourth proportional to 10,099, 13,936.68 and 5,683 is: 7,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099 : 13,936.68 = 5,683 : x
  2. Step 2: Convert to fraction form
    10,099/13,936.68 = 5,683/x
  3. Step 3: Cross multiply
    10,099x = 13,936.68 × 5,683
  4. Step 4: Simplify right side
    10,099x = 79,202,152.44
  5. Step 5: Solve for x
    x = 79,202,152.44/10,099
  6. Step 6: Final answer
    x = 7,842.57

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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.