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Finding the Fourth Proportional to 12,823.97, 17,701.79 and 7,523.24

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Solution

The fourth proportional to 12,823.97, 17,701.79 and 7,523.24 is: 10,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.97 : 17,701.79 = 7,523.24 : x
  2. Step 2: Convert to fraction form
    12,823.97/17,701.79 = 7,523.24/x
  3. Step 3: Cross multiply
    12,823.97x = 17,701.79 × 7,523.24
  4. Step 4: Simplify right side
    12,823.97x = 133,174,688.47
  5. Step 5: Solve for x
    x = 133,174,688.47/12,823.97
  6. Step 6: Final answer
    x = 10,384.83

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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.