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Finding the Fourth Proportional to 11,742.44, 16,202.94 and 7,026.08

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Solution

The fourth proportional to 11,742.44, 16,202.94 and 7,026.08 is: 9,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.44 : 16,202.94 = 7,026.08 : x
  2. Step 2: Convert to fraction form
    11,742.44/16,202.94 = 7,026.08/x
  3. Step 3: Cross multiply
    11,742.44x = 16,202.94 × 7,026.08
  4. Step 4: Simplify right side
    11,742.44x = 113,843,152.68
  5. Step 5: Solve for x
    x = 113,843,152.68/11,742.44
  6. Step 6: Final answer
    x = 9,695.02

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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.