Home / 6,834.24-10,237.56-6,480

Finding the Fourth Proportional to 6,834.24, 10,237.56 and 6,480

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Solution

The fourth proportional to 6,834.24, 10,237.56 and 6,480 is: 9,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.24 : 10,237.56 = 6,480 : x
  2. Step 2: Convert to fraction form
    6,834.24/10,237.56 = 6,480/x
  3. Step 3: Cross multiply
    6,834.24x = 10,237.56 × 6,480
  4. Step 4: Simplify right side
    6,834.24x = 66,339,388.80
  5. Step 5: Solve for x
    x = 66,339,388.80/6,834.24
  6. Step 6: Final answer
    x = 9,706.92

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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.