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Finding the Fourth Proportional to 5,867.09, 8,096.64 and 3,214.55

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Solution

The fourth proportional to 5,867.09, 8,096.64 and 3,214.55 is: 4,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.09 : 8,096.64 = 3,214.55 : x
  2. Step 2: Convert to fraction form
    5,867.09/8,096.64 = 3,214.55/x
  3. Step 3: Cross multiply
    5,867.09x = 8,096.64 × 3,214.55
  4. Step 4: Simplify right side
    5,867.09x = 26,027,054.11
  5. Step 5: Solve for x
    x = 26,027,054.11/5,867.09
  6. Step 6: Final answer
    x = 4,436.11

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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.