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Finding the Fourth Proportional to 6,841.74, 10,253.70 and 3,090.74

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Solution

The fourth proportional to 6,841.74, 10,253.70 and 3,090.74 is: 4,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.74 : 10,253.70 = 3,090.74 : x
  2. Step 2: Convert to fraction form
    6,841.74/10,253.70 = 3,090.74/x
  3. Step 3: Cross multiply
    6,841.74x = 10,253.70 × 3,090.74
  4. Step 4: Simplify right side
    6,841.74x = 31,691,469.47
  5. Step 5: Solve for x
    x = 31,691,469.47/6,841.74
  6. Step 6: Final answer
    x = 4,632.08

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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.