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Finding the Fourth Proportional to 4,762.96, 6,568.50 and 3,268.24

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Solution

The fourth proportional to 4,762.96, 6,568.50 and 3,268.24 is: 4,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.96 : 6,568.50 = 3,268.24 : x
  2. Step 2: Convert to fraction form
    4,762.96/6,568.50 = 3,268.24/x
  3. Step 3: Cross multiply
    4,762.96x = 6,568.50 × 3,268.24
  4. Step 4: Simplify right side
    4,762.96x = 21,467,434.44
  5. Step 5: Solve for x
    x = 21,467,434.44/4,762.96
  6. Step 6: Final answer
    x = 4,507.16

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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.