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Finding the Fourth Proportional to 6,546.66, 9,821.53 and 2,164.12

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Solution

The fourth proportional to 6,546.66, 9,821.53 and 2,164.12 is: 3,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.66 : 9,821.53 = 2,164.12 : x
  2. Step 2: Convert to fraction form
    6,546.66/9,821.53 = 2,164.12/x
  3. Step 3: Cross multiply
    6,546.66x = 9,821.53 × 2,164.12
  4. Step 4: Simplify right side
    6,546.66x = 21,254,939.54
  5. Step 5: Solve for x
    x = 21,254,939.54/6,546.66
  6. Step 6: Final answer
    x = 3,246.68

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1.5x scale

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.