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Finding the Fourth Proportional to 6,546.91, 9,820.80 and 2,164.40

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Solution

The fourth proportional to 6,546.91, 9,820.80 and 2,164.40 is: 3,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.91 : 9,820.80 = 2,164.40 : x
  2. Step 2: Convert to fraction form
    6,546.91/9,820.80 = 2,164.40/x
  3. Step 3: Cross multiply
    6,546.91x = 9,820.80 × 2,164.40
  4. Step 4: Simplify right side
    6,546.91x = 21,256,164.07
  5. Step 5: Solve for x
    x = 21,256,164.07/6,546.91
  6. Step 6: Final answer
    x = 3,246.75

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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.