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Finding the Fourth Proportional to 12,255.84, 16,916.63 and 8,007.53

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Solution

The fourth proportional to 12,255.84, 16,916.63 and 8,007.53 is: 11,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.84 : 16,916.63 = 8,007.53 : x
  2. Step 2: Convert to fraction form
    12,255.84/16,916.63 = 8,007.53/x
  3. Step 3: Cross multiply
    12,255.84x = 16,916.63 × 8,007.53
  4. Step 4: Simplify right side
    12,255.84x = 135,460,297.60
  5. Step 5: Solve for x
    x = 135,460,297.60/12,255.84
  6. Step 6: Final answer
    x = 11,052.71

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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.