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Finding the Fourth Proportional to 17,186.46, 25,776.60 and 7,824.30

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Solution

The fourth proportional to 17,186.46, 25,776.60 and 7,824.30 is: 11,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.46 : 25,776.60 = 7,824.30 : x
  2. Step 2: Convert to fraction form
    17,186.46/25,776.60 = 7,824.30/x
  3. Step 3: Cross multiply
    17,186.46x = 25,776.60 × 7,824.30
  4. Step 4: Simplify right side
    17,186.46x = 201,683,851.38
  5. Step 5: Solve for x
    x = 201,683,851.38/17,186.46
  6. Step 6: Final answer
    x = 11,735.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.