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Finding the Fourth Proportional to 11,466.50, 17,202.18 and 6,201.50

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Solution

The fourth proportional to 11,466.50, 17,202.18 and 6,201.50 is: 9,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.50 : 17,202.18 = 6,201.50 : x
  2. Step 2: Convert to fraction form
    11,466.50/17,202.18 = 6,201.50/x
  3. Step 3: Cross multiply
    11,466.50x = 17,202.18 × 6,201.50
  4. Step 4: Simplify right side
    11,466.50x = 106,679,319.27
  5. Step 5: Solve for x
    x = 106,679,319.27/11,466.50
  6. Step 6: Final answer
    x = 9,303.56

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1.5x scale

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.