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Finding the Fourth Proportional to 4,997.64, 7,496.46 and 4,268.64

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Solution

The fourth proportional to 4,997.64, 7,496.46 and 4,268.64 is: 6,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.64 : 7,496.46 = 4,268.64 : x
  2. Step 2: Convert to fraction form
    4,997.64/7,496.46 = 4,268.64/x
  3. Step 3: Cross multiply
    4,997.64x = 7,496.46 × 4,268.64
  4. Step 4: Simplify right side
    4,997.64x = 31,999,689.01
  5. Step 5: Solve for x
    x = 31,999,689.01/4,997.64
  6. Step 6: Final answer
    x = 6,402.96

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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.