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Finding the Fourth Proportional to 12,610.43, 17,402.23 and 6,945.07

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Solution

The fourth proportional to 12,610.43, 17,402.23 and 6,945.07 is: 9,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.43 : 17,402.23 = 6,945.07 : x
  2. Step 2: Convert to fraction form
    12,610.43/17,402.23 = 6,945.07/x
  3. Step 3: Cross multiply
    12,610.43x = 17,402.23 × 6,945.07
  4. Step 4: Simplify right side
    12,610.43x = 120,859,705.51
  5. Step 5: Solve for x
    x = 120,859,705.51/12,610.43
  6. Step 6: Final answer
    x = 9,584.11

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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.