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Finding the Fourth Proportional to 11,846.85, 17,768.85 and 9,216.98

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Solution

The fourth proportional to 11,846.85, 17,768.85 and 9,216.98 is: 13,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.85 : 17,768.85 = 9,216.98 : x
  2. Step 2: Convert to fraction form
    11,846.85/17,768.85 = 9,216.98/x
  3. Step 3: Cross multiply
    11,846.85x = 17,768.85 × 9,216.98
  4. Step 4: Simplify right side
    11,846.85x = 163,775,135.07
  5. Step 5: Solve for x
    x = 163,775,135.07/11,846.85
  6. Step 6: Final answer
    x = 13,824.36

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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.