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Finding the Fourth Proportional to 12,136.74, 16,738.29 and 8,366.01

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Solution

The fourth proportional to 12,136.74, 16,738.29 and 8,366.01 is: 11,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.74 : 16,738.29 = 8,366.01 : x
  2. Step 2: Convert to fraction form
    12,136.74/16,738.29 = 8,366.01/x
  3. Step 3: Cross multiply
    12,136.74x = 16,738.29 × 8,366.01
  4. Step 4: Simplify right side
    12,136.74x = 140,032,701.52
  5. Step 5: Solve for x
    x = 140,032,701.52/12,136.74
  6. Step 6: Final answer
    x = 11,537.92

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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.