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Finding the Fourth Proportional to 6,323.57, 9,486.54 and 2,427.68

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Solution

The fourth proportional to 6,323.57, 9,486.54 and 2,427.68 is: 3,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.57 : 9,486.54 = 2,427.68 : x
  2. Step 2: Convert to fraction form
    6,323.57/9,486.54 = 2,427.68/x
  3. Step 3: Cross multiply
    6,323.57x = 9,486.54 × 2,427.68
  4. Step 4: Simplify right side
    6,323.57x = 23,030,235.99
  5. Step 5: Solve for x
    x = 23,030,235.99/6,323.57
  6. Step 6: Final answer
    x = 3,641.97

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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.