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Finding the Fourth Proportional to 12,703.43, 17,521.52 and 7,665.44

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Solution

The fourth proportional to 12,703.43, 17,521.52 and 7,665.44 is: 10,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.43 : 17,521.52 = 7,665.44 : x
  2. Step 2: Convert to fraction form
    12,703.43/17,521.52 = 7,665.44/x
  3. Step 3: Cross multiply
    12,703.43x = 17,521.52 × 7,665.44
  4. Step 4: Simplify right side
    12,703.43x = 134,310,034.33
  5. Step 5: Solve for x
    x = 134,310,034.33/12,703.43
  6. Step 6: Final answer
    x = 10,572.74

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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.