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Finding the Fourth Proportional to 6,709.84, 10,065.12 and 2,092.84

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Solution

The fourth proportional to 6,709.84, 10,065.12 and 2,092.84 is: 3,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.84 : 10,065.12 = 2,092.84 : x
  2. Step 2: Convert to fraction form
    6,709.84/10,065.12 = 2,092.84/x
  3. Step 3: Cross multiply
    6,709.84x = 10,065.12 × 2,092.84
  4. Step 4: Simplify right side
    6,709.84x = 21,064,685.74
  5. Step 5: Solve for x
    x = 21,064,685.74/6,709.84
  6. Step 6: Final answer
    x = 3,139.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.