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Finding the Fourth Proportional to 4,614.06, 6,913.80 and 4,609.20

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Solution

The fourth proportional to 4,614.06, 6,913.80 and 4,609.20 is: 6,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.06 : 6,913.80 = 4,609.20 : x
  2. Step 2: Convert to fraction form
    4,614.06/6,913.80 = 4,609.20/x
  3. Step 3: Cross multiply
    4,614.06x = 6,913.80 × 4,609.20
  4. Step 4: Simplify right side
    4,614.06x = 31,867,086.96
  5. Step 5: Solve for x
    x = 31,867,086.96/4,614.06
  6. Step 6: Final answer
    x = 6,906.52

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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.