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Finding the Fourth Proportional to 7,164.02, 10,736.20 and 5,407.54

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Solution

The fourth proportional to 7,164.02, 10,736.20 and 5,407.54 is: 8,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.02 : 10,736.20 = 5,407.54 : x
  2. Step 2: Convert to fraction form
    7,164.02/10,736.20 = 5,407.54/x
  3. Step 3: Cross multiply
    7,164.02x = 10,736.20 × 5,407.54
  4. Step 4: Simplify right side
    7,164.02x = 58,056,430.95
  5. Step 5: Solve for x
    x = 58,056,430.95/7,164.02
  6. Step 6: Final answer
    x = 8,103.89

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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.