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Finding the Fourth Proportional to 8,497.82, 11,732.64 and 6,262.22

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Solution

The fourth proportional to 8,497.82, 11,732.64 and 6,262.22 is: 8,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.82 : 11,732.64 = 6,262.22 : x
  2. Step 2: Convert to fraction form
    8,497.82/11,732.64 = 6,262.22/x
  3. Step 3: Cross multiply
    8,497.82x = 11,732.64 × 6,262.22
  4. Step 4: Simplify right side
    8,497.82x = 73,472,372.86
  5. Step 5: Solve for x
    x = 73,472,372.86/8,497.82
  6. Step 6: Final answer
    x = 8,646.03

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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.