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Finding the Fourth Proportional to 9,264.35, 12,786.62 and 7,243.77

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Solution

The fourth proportional to 9,264.35, 12,786.62 and 7,243.77 is: 9,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.35 : 12,786.62 = 7,243.77 : x
  2. Step 2: Convert to fraction form
    9,264.35/12,786.62 = 7,243.77/x
  3. Step 3: Cross multiply
    9,264.35x = 12,786.62 × 7,243.77
  4. Step 4: Simplify right side
    9,264.35x = 92,623,386.83
  5. Step 5: Solve for x
    x = 92,623,386.83/9,264.35
  6. Step 6: Final answer
    x = 9,997.83

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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.