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Finding the Fourth Proportional to 6,856.83, 10,283.10 and 2,473.71

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Solution

The fourth proportional to 6,856.83, 10,283.10 and 2,473.71 is: 3,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.83 : 10,283.10 = 2,473.71 : x
  2. Step 2: Convert to fraction form
    6,856.83/10,283.10 = 2,473.71/x
  3. Step 3: Cross multiply
    6,856.83x = 10,283.10 × 2,473.71
  4. Step 4: Simplify right side
    6,856.83x = 25,437,407.30
  5. Step 5: Solve for x
    x = 25,437,407.30/6,856.83
  6. Step 6: Final answer
    x = 3,709.79

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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.