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Finding the Fourth Proportional to 12,758.06, 17,607.75 and 7,169.06

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Solution

The fourth proportional to 12,758.06, 17,607.75 and 7,169.06 is: 9,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.06 : 17,607.75 = 7,169.06 : x
  2. Step 2: Convert to fraction form
    12,758.06/17,607.75 = 7,169.06/x
  3. Step 3: Cross multiply
    12,758.06x = 17,607.75 × 7,169.06
  4. Step 4: Simplify right side
    12,758.06x = 126,231,016.22
  5. Step 5: Solve for x
    x = 126,231,016.22/12,758.06
  6. Step 6: Final answer
    x = 9,894.22

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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.