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Finding the Fourth Proportional to 6,856.66, 10,285.00 and 1,662.54

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Solution

The fourth proportional to 6,856.66, 10,285.00 and 1,662.54 is: 2,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.66 : 10,285.00 = 1,662.54 : x
  2. Step 2: Convert to fraction form
    6,856.66/10,285.00 = 1,662.54/x
  3. Step 3: Cross multiply
    6,856.66x = 10,285.00 × 1,662.54
  4. Step 4: Simplify right side
    6,856.66x = 17,099,210.10
  5. Step 5: Solve for x
    x = 17,099,210.10/6,856.66
  6. Step 6: Final answer
    x = 2,493.81

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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.