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Finding the Fourth Proportional to 6,366.48, 9,549.63 and 3,079.86

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Solution

The fourth proportional to 6,366.48, 9,549.63 and 3,079.86 is: 4,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.48 : 9,549.63 = 3,079.86 : x
  2. Step 2: Convert to fraction form
    6,366.48/9,549.63 = 3,079.86/x
  3. Step 3: Cross multiply
    6,366.48x = 9,549.63 × 3,079.86
  4. Step 4: Simplify right side
    6,366.48x = 29,411,523.45
  5. Step 5: Solve for x
    x = 29,411,523.45/6,366.48
  6. Step 6: Final answer
    x = 4,619.75

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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.