Home / 6,775.24-10,164.54-2,095

Finding the Fourth Proportional to 6,775.24, 10,164.54 and 2,095

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Solution

The fourth proportional to 6,775.24, 10,164.54 and 2,095 is: 3,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.24 : 10,164.54 = 2,095 : x
  2. Step 2: Convert to fraction form
    6,775.24/10,164.54 = 2,095/x
  3. Step 3: Cross multiply
    6,775.24x = 10,164.54 × 2,095
  4. Step 4: Simplify right side
    6,775.24x = 21,294,711.30
  5. Step 5: Solve for x
    x = 21,294,711.30/6,775.24
  6. Step 6: Final answer
    x = 3,143.02

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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.