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Finding the Fourth Proportional to 30,940.88, 46,412.22 and 7,567.31

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Solution

The fourth proportional to 30,940.88, 46,412.22 and 7,567.31 is: 11,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.88 : 46,412.22 = 7,567.31 : x
  2. Step 2: Convert to fraction form
    30,940.88/46,412.22 = 7,567.31/x
  3. Step 3: Cross multiply
    30,940.88x = 46,412.22 × 7,567.31
  4. Step 4: Simplify right side
    30,940.88x = 351,215,800.94
  5. Step 5: Solve for x
    x = 351,215,800.94/30,940.88
  6. Step 6: Final answer
    x = 11,351.19

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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.