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Finding the Fourth Proportional to 11,274.34, 15,559.74 and 6,494.44

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Solution

The fourth proportional to 11,274.34, 15,559.74 and 6,494.44 is: 8,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.34 : 15,559.74 = 6,494.44 : x
  2. Step 2: Convert to fraction form
    11,274.34/15,559.74 = 6,494.44/x
  3. Step 3: Cross multiply
    11,274.34x = 15,559.74 × 6,494.44
  4. Step 4: Simplify right side
    11,274.34x = 101,051,797.85
  5. Step 5: Solve for x
    x = 101,051,797.85/11,274.34
  6. Step 6: Final answer
    x = 8,962.99

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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.