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Finding the Fourth Proportional to 6,506.12, 8,978.64 and 3,673.64

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Solution

The fourth proportional to 6,506.12, 8,978.64 and 3,673.64 is: 5,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.12 : 8,978.64 = 3,673.64 : x
  2. Step 2: Convert to fraction form
    6,506.12/8,978.64 = 3,673.64/x
  3. Step 3: Cross multiply
    6,506.12x = 8,978.64 × 3,673.64
  4. Step 4: Simplify right side
    6,506.12x = 32,984,291.05
  5. Step 5: Solve for x
    x = 32,984,291.05/6,506.12
  6. Step 6: Final answer
    x = 5,069.73

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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.