Home / 6,022-9,026.14-2,897.32

Finding the Fourth Proportional to 6,022, 9,026.14 and 2,897.32

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Solution

The fourth proportional to 6,022, 9,026.14 and 2,897.32 is: 4,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022 : 9,026.14 = 2,897.32 : x
  2. Step 2: Convert to fraction form
    6,022/9,026.14 = 2,897.32/x
  3. Step 3: Cross multiply
    6,022x = 9,026.14 × 2,897.32
  4. Step 4: Simplify right side
    6,022x = 26,151,615.94
  5. Step 5: Solve for x
    x = 26,151,615.94/6,022
  6. Step 6: Final answer
    x = 4,342.68

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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.