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Finding the Fourth Proportional to 12,129.93, 16,738.03 and 6,824.29

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Solution

The fourth proportional to 12,129.93, 16,738.03 and 6,824.29 is: 9,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.93 : 16,738.03 = 6,824.29 : x
  2. Step 2: Convert to fraction form
    12,129.93/16,738.03 = 6,824.29/x
  3. Step 3: Cross multiply
    12,129.93x = 16,738.03 × 6,824.29
  4. Step 4: Simplify right side
    12,129.93x = 114,225,170.75
  5. Step 5: Solve for x
    x = 114,225,170.75/12,129.93
  6. Step 6: Final answer
    x = 9,416.80

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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.