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Finding the Fourth Proportional to 6,092.84, 8,404.14 and 4,302.92

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Solution

The fourth proportional to 6,092.84, 8,404.14 and 4,302.92 is: 5,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.84 : 8,404.14 = 4,302.92 : x
  2. Step 2: Convert to fraction form
    6,092.84/8,404.14 = 4,302.92/x
  3. Step 3: Cross multiply
    6,092.84x = 8,404.14 × 4,302.92
  4. Step 4: Simplify right side
    6,092.84x = 36,162,300.07
  5. Step 5: Solve for x
    x = 36,162,300.07/6,092.84
  6. Step 6: Final answer
    x = 5,935.22

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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.