Home / 4,566-6,849.90-1,446.47

Finding the Fourth Proportional to 4,566, 6,849.90 and 1,446.47

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Solution

The fourth proportional to 4,566, 6,849.90 and 1,446.47 is: 2,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 6,849.90 = 1,446.47 : x
  2. Step 2: Convert to fraction form
    4,566/6,849.90 = 1,446.47/x
  3. Step 3: Cross multiply
    4,566x = 6,849.90 × 1,446.47
  4. Step 4: Simplify right side
    4,566x = 9,908,174.85
  5. Step 5: Solve for x
    x = 9,908,174.85/4,566
  6. Step 6: Final answer
    x = 2,169.99

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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.