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Finding the Fourth Proportional to 5,873.44, 8,096.88 and 4,473.76

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Solution

The fourth proportional to 5,873.44, 8,096.88 and 4,473.76 is: 6,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.44 : 8,096.88 = 4,473.76 : x
  2. Step 2: Convert to fraction form
    5,873.44/8,096.88 = 4,473.76/x
  3. Step 3: Cross multiply
    5,873.44x = 8,096.88 × 4,473.76
  4. Step 4: Simplify right side
    5,873.44x = 36,223,497.87
  5. Step 5: Solve for x
    x = 36,223,497.87/5,873.44
  6. Step 6: Final answer
    x = 6,167.34

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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.