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Finding the Fourth Proportional to 9,296.01, 13,940.19 and 4,614.30

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Solution

The fourth proportional to 9,296.01, 13,940.19 and 4,614.30 is: 6,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.01 : 13,940.19 = 4,614.30 : x
  2. Step 2: Convert to fraction form
    9,296.01/13,940.19 = 4,614.30/x
  3. Step 3: Cross multiply
    9,296.01x = 13,940.19 × 4,614.30
  4. Step 4: Simplify right side
    9,296.01x = 64,324,218.72
  5. Step 5: Solve for x
    x = 64,324,218.72/9,296.01
  6. Step 6: Final answer
    x = 6,919.55

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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.