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Finding the Fourth Proportional to 6,049, 9,054.04 and 4,090.42

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Solution

The fourth proportional to 6,049, 9,054.04 and 4,090.42 is: 6,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049 : 9,054.04 = 4,090.42 : x
  2. Step 2: Convert to fraction form
    6,049/9,054.04 = 4,090.42/x
  3. Step 3: Cross multiply
    6,049x = 9,054.04 × 4,090.42
  4. Step 4: Simplify right side
    6,049x = 37,034,826.30
  5. Step 5: Solve for x
    x = 37,034,826.30/6,049
  6. Step 6: Final answer
    x = 6,122.47

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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.