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Finding the Fourth Proportional to 6,242.51, 9,361.16 and 2,542.22

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Solution

The fourth proportional to 6,242.51, 9,361.16 and 2,542.22 is: 3,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.51 : 9,361.16 = 2,542.22 : x
  2. Step 2: Convert to fraction form
    6,242.51/9,361.16 = 2,542.22/x
  3. Step 3: Cross multiply
    6,242.51x = 9,361.16 × 2,542.22
  4. Step 4: Simplify right side
    6,242.51x = 23,798,128.18
  5. Step 5: Solve for x
    x = 23,798,128.18/6,242.51
  6. Step 6: Final answer
    x = 3,812.27

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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.