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Finding the Fourth Proportional to 10,659.83, 15,984.41 and 6,219.02

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Solution

The fourth proportional to 10,659.83, 15,984.41 and 6,219.02 is: 9,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.83 : 15,984.41 = 6,219.02 : x
  2. Step 2: Convert to fraction form
    10,659.83/15,984.41 = 6,219.02/x
  3. Step 3: Cross multiply
    10,659.83x = 15,984.41 × 6,219.02
  4. Step 4: Simplify right side
    10,659.83x = 99,407,365.48
  5. Step 5: Solve for x
    x = 99,407,365.48/10,659.83
  6. Step 6: Final answer
    x = 9,325.42

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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.