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Finding the Fourth Proportional to 7,074.54, 10,606.92 and 4,114.80

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Solution

The fourth proportional to 7,074.54, 10,606.92 and 4,114.80 is: 6,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.54 : 10,606.92 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    7,074.54/10,606.92 = 4,114.80/x
  3. Step 3: Cross multiply
    7,074.54x = 10,606.92 × 4,114.80
  4. Step 4: Simplify right side
    7,074.54x = 43,645,354.42
  5. Step 5: Solve for x
    x = 43,645,354.42/7,074.54
  6. Step 6: Final answer
    x = 6,169.36

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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.