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Finding the Fourth Proportional to 9,148.56, 13,722.84 and 2,223

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Solution

The fourth proportional to 9,148.56, 13,722.84 and 2,223 is: 3,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.56 : 13,722.84 = 2,223 : x
  2. Step 2: Convert to fraction form
    9,148.56/13,722.84 = 2,223/x
  3. Step 3: Cross multiply
    9,148.56x = 13,722.84 × 2,223
  4. Step 4: Simplify right side
    9,148.56x = 30,505,873.32
  5. Step 5: Solve for x
    x = 30,505,873.32/9,148.56
  6. Step 6: Final answer
    x = 3,334.50

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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.