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Finding the Fourth Proportional to 7,129, 10,684.07 and 5,161.20

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Solution

The fourth proportional to 7,129, 10,684.07 and 5,161.20 is: 7,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129 : 10,684.07 = 5,161.20 : x
  2. Step 2: Convert to fraction form
    7,129/10,684.07 = 5,161.20/x
  3. Step 3: Cross multiply
    7,129x = 10,684.07 × 5,161.20
  4. Step 4: Simplify right side
    7,129x = 55,142,622.08
  5. Step 5: Solve for x
    x = 55,142,622.08/7,129
  6. Step 6: Final answer
    x = 7,734.97

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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.