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Finding the Fourth Proportional to 10,092.90, 13,925.94 and 6,113.94

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Solution

The fourth proportional to 10,092.90, 13,925.94 and 6,113.94 is: 8,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.90 : 13,925.94 = 6,113.94 : x
  2. Step 2: Convert to fraction form
    10,092.90/13,925.94 = 6,113.94/x
  3. Step 3: Cross multiply
    10,092.90x = 13,925.94 × 6,113.94
  4. Step 4: Simplify right side
    10,092.90x = 85,142,361.60
  5. Step 5: Solve for x
    x = 85,142,361.60/10,092.90
  6. Step 6: Final answer
    x = 8,435.87

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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.