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Finding the Fourth Proportional to 9,915.96, 13,683.01 and 5,936.97

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Solution

The fourth proportional to 9,915.96, 13,683.01 and 5,936.97 is: 8,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.96 : 13,683.01 = 5,936.97 : x
  2. Step 2: Convert to fraction form
    9,915.96/13,683.01 = 5,936.97/x
  3. Step 3: Cross multiply
    9,915.96x = 13,683.01 × 5,936.97
  4. Step 4: Simplify right side
    9,915.96x = 81,235,590.19
  5. Step 5: Solve for x
    x = 81,235,590.19/9,915.96
  6. Step 6: Final answer
    x = 8,192.41

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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.