Home / 7,166.24-10,742.88-2,546

Finding the Fourth Proportional to 7,166.24, 10,742.88 and 2,546

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Solution

The fourth proportional to 7,166.24, 10,742.88 and 2,546 is: 3,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.24 : 10,742.88 = 2,546 : x
  2. Step 2: Convert to fraction form
    7,166.24/10,742.88 = 2,546/x
  3. Step 3: Cross multiply
    7,166.24x = 10,742.88 × 2,546
  4. Step 4: Simplify right side
    7,166.24x = 27,351,372.48
  5. Step 5: Solve for x
    x = 27,351,372.48/7,166.24
  6. Step 6: Final answer
    x = 3,816.70

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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.