Home / 6,034-9,042.78-3,106.12

Finding the Fourth Proportional to 6,034, 9,042.78 and 3,106.12

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Solution

The fourth proportional to 6,034, 9,042.78 and 3,106.12 is: 4,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034 : 9,042.78 = 3,106.12 : x
  2. Step 2: Convert to fraction form
    6,034/9,042.78 = 3,106.12/x
  3. Step 3: Cross multiply
    6,034x = 9,042.78 × 3,106.12
  4. Step 4: Simplify right side
    6,034x = 28,087,959.81
  5. Step 5: Solve for x
    x = 28,087,959.81/6,034
  6. Step 6: Final answer
    x = 4,654.95

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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.