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Finding the Fourth Proportional to 6,567, 9,062.46 and 3,774.12

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Solution

The fourth proportional to 6,567, 9,062.46 and 3,774.12 is: 5,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567 : 9,062.46 = 3,774.12 : x
  2. Step 2: Convert to fraction form
    6,567/9,062.46 = 3,774.12/x
  3. Step 3: Cross multiply
    6,567x = 9,062.46 × 3,774.12
  4. Step 4: Simplify right side
    6,567x = 34,202,811.54
  5. Step 5: Solve for x
    x = 34,202,811.54/6,567
  6. Step 6: Final answer
    x = 5,208.29

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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.