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Finding the Fourth Proportional to 6,616.50, 9,918.06 and 4,153.06

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Solution

The fourth proportional to 6,616.50, 9,918.06 and 4,153.06 is: 6,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.50 : 9,918.06 = 4,153.06 : x
  2. Step 2: Convert to fraction form
    6,616.50/9,918.06 = 4,153.06/x
  3. Step 3: Cross multiply
    6,616.50x = 9,918.06 × 4,153.06
  4. Step 4: Simplify right side
    6,616.50x = 41,190,298.26
  5. Step 5: Solve for x
    x = 41,190,298.26/6,616.50
  6. Step 6: Final answer
    x = 6,225.39

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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.