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Finding the Fourth Proportional to 6,092.92, 8,407.80 and 3,575.14

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Solution

The fourth proportional to 6,092.92, 8,407.80 and 3,575.14 is: 4,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.92 : 8,407.80 = 3,575.14 : x
  2. Step 2: Convert to fraction form
    6,092.92/8,407.80 = 3,575.14/x
  3. Step 3: Cross multiply
    6,092.92x = 8,407.80 × 3,575.14
  4. Step 4: Simplify right side
    6,092.92x = 30,059,041.07
  5. Step 5: Solve for x
    x = 30,059,041.07/6,092.92
  6. Step 6: Final answer
    x = 4,933.44

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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.