Home / 6,546.57-9,821.48-2,164.07

Finding the Fourth Proportional to 6,546.57, 9,821.48 and 2,164.07

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Solution

The fourth proportional to 6,546.57, 9,821.48 and 2,164.07 is: 3,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.57 : 9,821.48 = 2,164.07 : x
  2. Step 2: Convert to fraction form
    6,546.57/9,821.48 = 2,164.07/x
  3. Step 3: Cross multiply
    6,546.57x = 9,821.48 × 2,164.07
  4. Step 4: Simplify right side
    6,546.57x = 21,254,370.22
  5. Step 5: Solve for x
    x = 21,254,370.22/6,546.57
  6. Step 6: Final answer
    x = 3,246.64

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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.