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Finding the Fourth Proportional to 8,262.46, 11,386.45 and 8,110.63

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Solution

The fourth proportional to 8,262.46, 11,386.45 and 8,110.63 is: 11,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.46 : 11,386.45 = 8,110.63 : x
  2. Step 2: Convert to fraction form
    8,262.46/11,386.45 = 8,110.63/x
  3. Step 3: Cross multiply
    8,262.46x = 11,386.45 × 8,110.63
  4. Step 4: Simplify right side
    8,262.46x = 92,351,185.48
  5. Step 5: Solve for x
    x = 92,351,185.48/8,262.46
  6. Step 6: Final answer
    x = 11,177.21

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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.