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Finding the Fourth Proportional to 8,362.91, 12,544.34 and 4,614.50

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Solution

The fourth proportional to 8,362.91, 12,544.34 and 4,614.50 is: 6,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.91 : 12,544.34 = 4,614.50 : x
  2. Step 2: Convert to fraction form
    8,362.91/12,544.34 = 4,614.50/x
  3. Step 3: Cross multiply
    8,362.91x = 12,544.34 × 4,614.50
  4. Step 4: Simplify right side
    8,362.91x = 57,885,771.14
  5. Step 5: Solve for x
    x = 57,885,771.14/8,362.91
  6. Step 6: Final answer
    x = 6,921.73

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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.