Home / 3,174.36-4,761.53-983.04

Finding the Fourth Proportional to 3,174.36, 4,761.53 and 983.04

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Solution

The fourth proportional to 3,174.36, 4,761.53 and 983.04 is: 1,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.36 : 4,761.53 = 983.04 : x
  2. Step 2: Convert to fraction form
    3,174.36/4,761.53 = 983.04/x
  3. Step 3: Cross multiply
    3,174.36x = 4,761.53 × 983.04
  4. Step 4: Simplify right side
    3,174.36x = 4,680,774.45
  5. Step 5: Solve for x
    x = 4,680,774.45/3,174.36
  6. Step 6: Final answer
    x = 1,474.56

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1.5x scale

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.