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Finding the Fourth Proportional to 12,712.48, 17,544.96 and 7,408.96

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Solution

The fourth proportional to 12,712.48, 17,544.96 and 7,408.96 is: 10,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.48 : 17,544.96 = 7,408.96 : x
  2. Step 2: Convert to fraction form
    12,712.48/17,544.96 = 7,408.96/x
  3. Step 3: Cross multiply
    12,712.48x = 17,544.96 × 7,408.96
  4. Step 4: Simplify right side
    12,712.48x = 129,989,906.84
  5. Step 5: Solve for x
    x = 129,989,906.84/12,712.48
  6. Step 6: Final answer
    x = 10,225.38

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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.