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Finding the Fourth Proportional to 6,129.61, 9,186.22 and 3,497.92

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Solution

The fourth proportional to 6,129.61, 9,186.22 and 3,497.92 is: 5,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.61 : 9,186.22 = 3,497.92 : x
  2. Step 2: Convert to fraction form
    6,129.61/9,186.22 = 3,497.92/x
  3. Step 3: Cross multiply
    6,129.61x = 9,186.22 × 3,497.92
  4. Step 4: Simplify right side
    6,129.61x = 32,132,662.66
  5. Step 5: Solve for x
    x = 32,132,662.66/6,129.61
  6. Step 6: Final answer
    x = 5,242.20

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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.