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Finding the Fourth Proportional to 6,856.60, 10,285.62 and 2,239

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Solution

The fourth proportional to 6,856.60, 10,285.62 and 2,239 is: 3,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.60 : 10,285.62 = 2,239 : x
  2. Step 2: Convert to fraction form
    6,856.60/10,285.62 = 2,239/x
  3. Step 3: Cross multiply
    6,856.60x = 10,285.62 × 2,239
  4. Step 4: Simplify right side
    6,856.60x = 23,029,503.18
  5. Step 5: Solve for x
    x = 23,029,503.18/6,856.60
  6. Step 6: Final answer
    x = 3,358.74

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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.