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Finding the Fourth Proportional to 5,866.96, 8,096.56 and 3,214.56

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Solution

The fourth proportional to 5,866.96, 8,096.56 and 3,214.56 is: 4,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.96 : 8,096.56 = 3,214.56 : x
  2. Step 2: Convert to fraction form
    5,866.96/8,096.56 = 3,214.56/x
  3. Step 3: Cross multiply
    5,866.96x = 8,096.56 × 3,214.56
  4. Step 4: Simplify right side
    5,866.96x = 26,026,877.91
  5. Step 5: Solve for x
    x = 26,026,877.91/5,866.96
  6. Step 6: Final answer
    x = 4,436.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.