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Finding the Fourth Proportional to 12,775.50, 17,629.67 and 7,110.09

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Solution

The fourth proportional to 12,775.50, 17,629.67 and 7,110.09 is: 9,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.50 : 17,629.67 = 7,110.09 : x
  2. Step 2: Convert to fraction form
    12,775.50/17,629.67 = 7,110.09/x
  3. Step 3: Cross multiply
    12,775.50x = 17,629.67 × 7,110.09
  4. Step 4: Simplify right side
    12,775.50x = 125,348,446.38
  5. Step 5: Solve for x
    x = 125,348,446.38/12,775.50
  6. Step 6: Final answer
    x = 9,811.63

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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.