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Finding the Fourth Proportional to 29,969.34, 44,954.09 and 7,782.90

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Solution

The fourth proportional to 29,969.34, 44,954.09 and 7,782.90 is: 11,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.34 : 44,954.09 = 7,782.90 : x
  2. Step 2: Convert to fraction form
    29,969.34/44,954.09 = 7,782.90/x
  3. Step 3: Cross multiply
    29,969.34x = 44,954.09 × 7,782.90
  4. Step 4: Simplify right side
    29,969.34x = 349,873,206.52
  5. Step 5: Solve for x
    x = 349,873,206.52/29,969.34
  6. Step 6: Final answer
    x = 11,674.37

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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.