Home / 6,106.92-9,164-2,409.52

Finding the Fourth Proportional to 6,106.92, 9,164 and 2,409.52

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Solution

The fourth proportional to 6,106.92, 9,164 and 2,409.52 is: 3,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.92 : 9,164 = 2,409.52 : x
  2. Step 2: Convert to fraction form
    6,106.92/9,164 = 2,409.52/x
  3. Step 3: Cross multiply
    6,106.92x = 9,164 × 2,409.52
  4. Step 4: Simplify right side
    6,106.92x = 22,080,841.28
  5. Step 5: Solve for x
    x = 22,080,841.28/6,106.92
  6. Step 6: Final answer
    x = 3,615.71

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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.