Home / 7,023.13-10,535.30-1,829

Finding the Fourth Proportional to 7,023.13, 10,535.30 and 1,829

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Solution

The fourth proportional to 7,023.13, 10,535.30 and 1,829 is: 2,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.13 : 10,535.30 = 1,829 : x
  2. Step 2: Convert to fraction form
    7,023.13/10,535.30 = 1,829/x
  3. Step 3: Cross multiply
    7,023.13x = 10,535.30 × 1,829
  4. Step 4: Simplify right side
    7,023.13x = 19,269,063.70
  5. Step 5: Solve for x
    x = 19,269,063.70/7,023.13
  6. Step 6: Final answer
    x = 2,743.66

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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.