Home / 6,523.09-9,782.31-2,362.02

Finding the Fourth Proportional to 6,523.09, 9,782.31 and 2,362.02

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Solution

The fourth proportional to 6,523.09, 9,782.31 and 2,362.02 is: 3,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.09 : 9,782.31 = 2,362.02 : x
  2. Step 2: Convert to fraction form
    6,523.09/9,782.31 = 2,362.02/x
  3. Step 3: Cross multiply
    6,523.09x = 9,782.31 × 2,362.02
  4. Step 4: Simplify right side
    6,523.09x = 23,106,011.87
  5. Step 5: Solve for x
    x = 23,106,011.87/6,523.09
  6. Step 6: Final answer
    x = 3,542.19

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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.