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Finding the Fourth Proportional to 6,274.44, 9,409.74 and 2,113.33

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Solution

The fourth proportional to 6,274.44, 9,409.74 and 2,113.33 is: 3,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.44 : 9,409.74 = 2,113.33 : x
  2. Step 2: Convert to fraction form
    6,274.44/9,409.74 = 2,113.33/x
  3. Step 3: Cross multiply
    6,274.44x = 9,409.74 × 2,113.33
  4. Step 4: Simplify right side
    6,274.44x = 19,885,872.03
  5. Step 5: Solve for x
    x = 19,885,872.03/6,274.44
  6. Step 6: Final answer
    x = 3,169.35

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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.