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Finding the Fourth Proportional to 7,013.67, 9,682.37 and 4,361.93

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Solution

The fourth proportional to 7,013.67, 9,682.37 and 4,361.93 is: 6,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.67 : 9,682.37 = 4,361.93 : x
  2. Step 2: Convert to fraction form
    7,013.67/9,682.37 = 4,361.93/x
  3. Step 3: Cross multiply
    7,013.67x = 9,682.37 × 4,361.93
  4. Step 4: Simplify right side
    7,013.67x = 42,233,820.17
  5. Step 5: Solve for x
    x = 42,233,820.17/7,013.67
  6. Step 6: Final answer
    x = 6,021.64

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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.