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Finding the Fourth Proportional to 6,856.01, 10,284.21 and 2,176.04

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Solution

The fourth proportional to 6,856.01, 10,284.21 and 2,176.04 is: 3,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.01 : 10,284.21 = 2,176.04 : x
  2. Step 2: Convert to fraction form
    6,856.01/10,284.21 = 2,176.04/x
  3. Step 3: Cross multiply
    6,856.01x = 10,284.21 × 2,176.04
  4. Step 4: Simplify right side
    6,856.01x = 22,378,852.33
  5. Step 5: Solve for x
    x = 22,378,852.33/6,856.01
  6. Step 6: Final answer
    x = 3,264.12

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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.