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Finding the Fourth Proportional to 12,608.96, 17,401.29 and 9,024.26

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Solution

The fourth proportional to 12,608.96, 17,401.29 and 9,024.26 is: 12,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.96 : 17,401.29 = 9,024.26 : x
  2. Step 2: Convert to fraction form
    12,608.96/17,401.29 = 9,024.26/x
  3. Step 3: Cross multiply
    12,608.96x = 17,401.29 × 9,024.26
  4. Step 4: Simplify right side
    12,608.96x = 157,033,712.13
  5. Step 5: Solve for x
    x = 157,033,712.13/12,608.96
  6. Step 6: Final answer
    x = 12,454.13

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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.