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Finding the Fourth Proportional to 29,992.40, 44,986.68 and 9,218

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Solution

The fourth proportional to 29,992.40, 44,986.68 and 9,218 is: 13,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,992.40 : 44,986.68 = 9,218 : x
  2. Step 2: Convert to fraction form
    29,992.40/44,986.68 = 9,218/x
  3. Step 3: Cross multiply
    29,992.40x = 44,986.68 × 9,218
  4. Step 4: Simplify right side
    29,992.40x = 414,687,216.24
  5. Step 5: Solve for x
    x = 414,687,216.24/29,992.40
  6. Step 6: Final answer
    x = 13,826.41

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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.