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Finding the Fourth Proportional to 7,362.12, 11,046.12 and 3,466.80

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Solution

The fourth proportional to 7,362.12, 11,046.12 and 3,466.80 is: 5,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.12 : 11,046.12 = 3,466.80 : x
  2. Step 2: Convert to fraction form
    7,362.12/11,046.12 = 3,466.80/x
  3. Step 3: Cross multiply
    7,362.12x = 11,046.12 × 3,466.80
  4. Step 4: Simplify right side
    7,362.12x = 38,294,688.82
  5. Step 5: Solve for x
    x = 38,294,688.82/7,362.12
  6. Step 6: Final answer
    x = 5,201.58

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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.