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Finding the Fourth Proportional to 12,827.03, 17,704.26 and 7,523.56

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Solution

The fourth proportional to 12,827.03, 17,704.26 and 7,523.56 is: 10,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.03 : 17,704.26 = 7,523.56 : x
  2. Step 2: Convert to fraction form
    12,827.03/17,704.26 = 7,523.56/x
  3. Step 3: Cross multiply
    12,827.03x = 17,704.26 × 7,523.56
  4. Step 4: Simplify right side
    12,827.03x = 133,199,024.12
  5. Step 5: Solve for x
    x = 133,199,024.12/12,827.03
  6. Step 6: Final answer
    x = 10,384.24

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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.