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Finding the Fourth Proportional to 5,662.68, 7,813.50 and 3,305.16

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Solution

The fourth proportional to 5,662.68, 7,813.50 and 3,305.16 is: 4,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.68 : 7,813.50 = 3,305.16 : x
  2. Step 2: Convert to fraction form
    5,662.68/7,813.50 = 3,305.16/x
  3. Step 3: Cross multiply
    5,662.68x = 7,813.50 × 3,305.16
  4. Step 4: Simplify right side
    5,662.68x = 25,824,867.66
  5. Step 5: Solve for x
    x = 25,824,867.66/5,662.68
  6. Step 6: Final answer
    x = 4,560.54

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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.