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Finding the Fourth Proportional to 30,896.72, 46,344.36 and 7,523.36

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Solution

The fourth proportional to 30,896.72, 46,344.36 and 7,523.36 is: 11,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.72 : 46,344.36 = 7,523.36 : x
  2. Step 2: Convert to fraction form
    30,896.72/46,344.36 = 7,523.36/x
  3. Step 3: Cross multiply
    30,896.72x = 46,344.36 × 7,523.36
  4. Step 4: Simplify right side
    30,896.72x = 348,665,304.25
  5. Step 5: Solve for x
    x = 348,665,304.25/30,896.72
  6. Step 6: Final answer
    x = 11,284.86

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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.