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Finding the Fourth Proportional to 6,975, 9,614.03 and 4,853.61

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Solution

The fourth proportional to 6,975, 9,614.03 and 4,853.61 is: 6,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975 : 9,614.03 = 4,853.61 : x
  2. Step 2: Convert to fraction form
    6,975/9,614.03 = 4,853.61/x
  3. Step 3: Cross multiply
    6,975x = 9,614.03 × 4,853.61
  4. Step 4: Simplify right side
    6,975x = 46,662,727.88
  5. Step 5: Solve for x
    x = 46,662,727.88/6,975
  6. Step 6: Final answer
    x = 6,690.00

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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.