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Finding the Fourth Proportional to 12,832.74, 17,706.60 and 7,523.82

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Solution

The fourth proportional to 12,832.74, 17,706.60 and 7,523.82 is: 10,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.74 : 17,706.60 = 7,523.82 : x
  2. Step 2: Convert to fraction form
    12,832.74/17,706.60 = 7,523.82/x
  3. Step 3: Cross multiply
    12,832.74x = 17,706.60 × 7,523.82
  4. Step 4: Simplify right side
    12,832.74x = 133,221,271.21
  5. Step 5: Solve for x
    x = 133,221,271.21/12,832.74
  6. Step 6: Final answer
    x = 10,381.36

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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.