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Finding the Fourth Proportional to 6,092.68, 8,407.98 and 3,403.78

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Solution

The fourth proportional to 6,092.68, 8,407.98 and 3,403.78 is: 4,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.68 : 8,407.98 = 3,403.78 : x
  2. Step 2: Convert to fraction form
    6,092.68/8,407.98 = 3,403.78/x
  3. Step 3: Cross multiply
    6,092.68x = 8,407.98 × 3,403.78
  4. Step 4: Simplify right side
    6,092.68x = 28,618,914.16
  5. Step 5: Solve for x
    x = 28,618,914.16/6,092.68
  6. Step 6: Final answer
    x = 4,697.26

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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.