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Finding the Fourth Proportional to 13,187.80, 18,200.26 and 7,522.80

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Solution

The fourth proportional to 13,187.80, 18,200.26 and 7,522.80 is: 10,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.80 : 18,200.26 = 7,522.80 : x
  2. Step 2: Convert to fraction form
    13,187.80/18,200.26 = 7,522.80/x
  3. Step 3: Cross multiply
    13,187.80x = 18,200.26 × 7,522.80
  4. Step 4: Simplify right side
    13,187.80x = 136,916,915.93
  5. Step 5: Solve for x
    x = 136,916,915.93/13,187.80
  6. Step 6: Final answer
    x = 10,382.09

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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.