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Finding the Fourth Proportional to 7,096.48, 9,794.64 and 4,742.56

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Solution

The fourth proportional to 7,096.48, 9,794.64 and 4,742.56 is: 6,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.48 : 9,794.64 = 4,742.56 : x
  2. Step 2: Convert to fraction form
    7,096.48/9,794.64 = 4,742.56/x
  3. Step 3: Cross multiply
    7,096.48x = 9,794.64 × 4,742.56
  4. Step 4: Simplify right side
    7,096.48x = 46,451,667.88
  5. Step 5: Solve for x
    x = 46,451,667.88/7,096.48
  6. Step 6: Final answer
    x = 6,545.73

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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.