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Finding the Fourth Proportional to 7,092.36, 9,787.98 and 4,109.16

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Solution

The fourth proportional to 7,092.36, 9,787.98 and 4,109.16 is: 5,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.36 : 9,787.98 = 4,109.16 : x
  2. Step 2: Convert to fraction form
    7,092.36/9,787.98 = 4,109.16/x
  3. Step 3: Cross multiply
    7,092.36x = 9,787.98 × 4,109.16
  4. Step 4: Simplify right side
    7,092.36x = 40,220,375.90
  5. Step 5: Solve for x
    x = 40,220,375.90/7,092.36
  6. Step 6: Final answer
    x = 5,670.94

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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.