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Finding the Fourth Proportional to 12,733.44, 17,570.16 and 8,020.32

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Solution

The fourth proportional to 12,733.44, 17,570.16 and 8,020.32 is: 11,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.44 : 17,570.16 = 8,020.32 : x
  2. Step 2: Convert to fraction form
    12,733.44/17,570.16 = 8,020.32/x
  3. Step 3: Cross multiply
    12,733.44x = 17,570.16 × 8,020.32
  4. Step 4: Simplify right side
    12,733.44x = 140,918,305.65
  5. Step 5: Solve for x
    x = 140,918,305.65/12,733.44
  6. Step 6: Final answer
    x = 11,066.79

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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.