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Finding the Fourth Proportional to 6,548.43, 9,820.53 and 2,164.80

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Solution

The fourth proportional to 6,548.43, 9,820.53 and 2,164.80 is: 3,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.43 : 9,820.53 = 2,164.80 : x
  2. Step 2: Convert to fraction form
    6,548.43/9,820.53 = 2,164.80/x
  3. Step 3: Cross multiply
    6,548.43x = 9,820.53 × 2,164.80
  4. Step 4: Simplify right side
    6,548.43x = 21,259,483.34
  5. Step 5: Solve for x
    x = 21,259,483.34/6,548.43
  6. Step 6: Final answer
    x = 3,246.50

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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.