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Finding the Fourth Proportional to 11,359.43, 15,682.17 and 7,966.86

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Solution

The fourth proportional to 11,359.43, 15,682.17 and 7,966.86 is: 10,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.43 : 15,682.17 = 7,966.86 : x
  2. Step 2: Convert to fraction form
    11,359.43/15,682.17 = 7,966.86/x
  3. Step 3: Cross multiply
    11,359.43x = 15,682.17 × 7,966.86
  4. Step 4: Simplify right side
    11,359.43x = 124,937,623.01
  5. Step 5: Solve for x
    x = 124,937,623.01/11,359.43
  6. Step 6: Final answer
    x = 10,998.58

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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.