Home / 6,782.23-10,174.93-2,102.00

Finding the Fourth Proportional to 6,782.23, 10,174.93 and 2,102.00

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Solution

The fourth proportional to 6,782.23, 10,174.93 and 2,102.00 is: 3,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.23 : 10,174.93 = 2,102.00 : x
  2. Step 2: Convert to fraction form
    6,782.23/10,174.93 = 2,102.00/x
  3. Step 3: Cross multiply
    6,782.23x = 10,174.93 × 2,102.00
  4. Step 4: Simplify right side
    6,782.23x = 21,387,651.99
  5. Step 5: Solve for x
    x = 21,387,651.99/6,782.23
  6. Step 6: Final answer
    x = 3,153.48

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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.