Home / 7,023-10,534.50-2,862.09

Finding the Fourth Proportional to 7,023, 10,534.50 and 2,862.09

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Solution

The fourth proportional to 7,023, 10,534.50 and 2,862.09 is: 4,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023 : 10,534.50 = 2,862.09 : x
  2. Step 2: Convert to fraction form
    7,023/10,534.50 = 2,862.09/x
  3. Step 3: Cross multiply
    7,023x = 10,534.50 × 2,862.09
  4. Step 4: Simplify right side
    7,023x = 30,150,687.11
  5. Step 5: Solve for x
    x = 30,150,687.11/7,023
  6. Step 6: Final answer
    x = 4,293.14

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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.