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Finding the Fourth Proportional to 17,629.44, 26,444.16 and 7,768.64

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Solution

The fourth proportional to 17,629.44, 26,444.16 and 7,768.64 is: 11,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,629.44 : 26,444.16 = 7,768.64 : x
  2. Step 2: Convert to fraction form
    17,629.44/26,444.16 = 7,768.64/x
  3. Step 3: Cross multiply
    17,629.44x = 26,444.16 × 7,768.64
  4. Step 4: Simplify right side
    17,629.44x = 205,435,159.14
  5. Step 5: Solve for x
    x = 205,435,159.14/17,629.44
  6. Step 6: Final answer
    x = 11,652.96

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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.