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Finding the Fourth Proportional to 6,102.68, 8,406.63 and 5,203.49

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Solution

The fourth proportional to 6,102.68, 8,406.63 and 5,203.49 is: 7,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.68 : 8,406.63 = 5,203.49 : x
  2. Step 2: Convert to fraction form
    6,102.68/8,406.63 = 5,203.49/x
  3. Step 3: Cross multiply
    6,102.68x = 8,406.63 × 5,203.49
  4. Step 4: Simplify right side
    6,102.68x = 43,743,798.62
  5. Step 5: Solve for x
    x = 43,743,798.62/6,102.68
  6. Step 6: Final answer
    x = 7,167.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.