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Finding the Fourth Proportional to 4,773.24, 7,164.72 and 3,208.32

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Solution

The fourth proportional to 4,773.24, 7,164.72 and 3,208.32 is: 4,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.24 : 7,164.72 = 3,208.32 : x
  2. Step 2: Convert to fraction form
    4,773.24/7,164.72 = 3,208.32/x
  3. Step 3: Cross multiply
    4,773.24x = 7,164.72 × 3,208.32
  4. Step 4: Simplify right side
    4,773.24x = 22,986,714.47
  5. Step 5: Solve for x
    x = 22,986,714.47/4,773.24
  6. Step 6: Final answer
    x = 4,815.75

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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.