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Finding the Fourth Proportional to 6,534.48, 9,783 and 6,120.64

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Solution

The fourth proportional to 6,534.48, 9,783 and 6,120.64 is: 9,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.48 : 9,783 = 6,120.64 : x
  2. Step 2: Convert to fraction form
    6,534.48/9,783 = 6,120.64/x
  3. Step 3: Cross multiply
    6,534.48x = 9,783 × 6,120.64
  4. Step 4: Simplify right side
    6,534.48x = 59,878,221.12
  5. Step 5: Solve for x
    x = 59,878,221.12/6,534.48
  6. Step 6: Final answer
    x = 9,163.43

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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.