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Finding the Fourth Proportional to 6,323.56, 9,486.56 and 2,427.66

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Solution

The fourth proportional to 6,323.56, 9,486.56 and 2,427.66 is: 3,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.56 : 9,486.56 = 2,427.66 : x
  2. Step 2: Convert to fraction form
    6,323.56/9,486.56 = 2,427.66/x
  3. Step 3: Cross multiply
    6,323.56x = 9,486.56 × 2,427.66
  4. Step 4: Simplify right side
    6,323.56x = 23,030,142.25
  5. Step 5: Solve for x
    x = 23,030,142.25/6,323.56
  6. Step 6: Final answer
    x = 3,641.96

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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.