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Finding the Fourth Proportional to 11,974.44, 16,525.44 and 6,937.05

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Solution

The fourth proportional to 11,974.44, 16,525.44 and 6,937.05 is: 9,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.44 : 16,525.44 = 6,937.05 : x
  2. Step 2: Convert to fraction form
    11,974.44/16,525.44 = 6,937.05/x
  3. Step 3: Cross multiply
    11,974.44x = 16,525.44 × 6,937.05
  4. Step 4: Simplify right side
    11,974.44x = 114,637,803.55
  5. Step 5: Solve for x
    x = 114,637,803.55/11,974.44
  6. Step 6: Final answer
    x = 9,573.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.