Home / 7,177.14-10,765.70-1,983

Finding the Fourth Proportional to 7,177.14, 10,765.70 and 1,983

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Solution

The fourth proportional to 7,177.14, 10,765.70 and 1,983 is: 2,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.14 : 10,765.70 = 1,983 : x
  2. Step 2: Convert to fraction form
    7,177.14/10,765.70 = 1,983/x
  3. Step 3: Cross multiply
    7,177.14x = 10,765.70 × 1,983
  4. Step 4: Simplify right side
    7,177.14x = 21,348,373.19
  5. Step 5: Solve for x
    x = 21,348,373.19/7,177.14
  6. Step 6: Final answer
    x = 2,974.50

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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.