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Finding the Fourth Proportional to 6,274.81, 9,404.91 and 4,616.00

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Solution

The fourth proportional to 6,274.81, 9,404.91 and 4,616.00 is: 6,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.81 : 9,404.91 = 4,616.00 : x
  2. Step 2: Convert to fraction form
    6,274.81/9,404.91 = 4,616.00/x
  3. Step 3: Cross multiply
    6,274.81x = 9,404.91 × 4,616.00
  4. Step 4: Simplify right side
    6,274.81x = 43,413,052.80
  5. Step 5: Solve for x
    x = 43,413,052.80/6,274.81
  6. Step 6: Final answer
    x = 6,918.62

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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.