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Finding the Fourth Proportional to 6,985.20, 9,647.83 and 5,380.46

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Solution

The fourth proportional to 6,985.20, 9,647.83 and 5,380.46 is: 7,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.20 : 9,647.83 = 5,380.46 : x
  2. Step 2: Convert to fraction form
    6,985.20/9,647.83 = 5,380.46/x
  3. Step 3: Cross multiply
    6,985.20x = 9,647.83 × 5,380.46
  4. Step 4: Simplify right side
    6,985.20x = 51,909,688.26
  5. Step 5: Solve for x
    x = 51,909,688.26/6,985.20
  6. Step 6: Final answer
    x = 7,431.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.