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Finding the Fourth Proportional to 12,129.68, 16,737.77 and 6,824.39

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Solution

The fourth proportional to 12,129.68, 16,737.77 and 6,824.39 is: 9,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.68 : 16,737.77 = 6,824.39 : x
  2. Step 2: Convert to fraction form
    12,129.68/16,737.77 = 6,824.39/x
  3. Step 3: Cross multiply
    12,129.68x = 16,737.77 × 6,824.39
  4. Step 4: Simplify right side
    12,129.68x = 114,224,952.40
  5. Step 5: Solve for x
    x = 114,224,952.40/12,129.68
  6. Step 6: Final answer
    x = 9,416.98

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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.