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Finding the Fourth Proportional to 13,085, 18,057.30 and 7,496.36

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Solution

The fourth proportional to 13,085, 18,057.30 and 7,496.36 is: 10,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085 : 18,057.30 = 7,496.36 : x
  2. Step 2: Convert to fraction form
    13,085/18,057.30 = 7,496.36/x
  3. Step 3: Cross multiply
    13,085x = 18,057.30 × 7,496.36
  4. Step 4: Simplify right side
    13,085x = 135,364,021.43
  5. Step 5: Solve for x
    x = 135,364,021.43/13,085
  6. Step 6: Final answer
    x = 10,344.98

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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.