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Finding the Fourth Proportional to 8,262.77, 11,407.07 and 6,370.21

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Solution

The fourth proportional to 8,262.77, 11,407.07 and 6,370.21 is: 8,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.77 : 11,407.07 = 6,370.21 : x
  2. Step 2: Convert to fraction form
    8,262.77/11,407.07 = 6,370.21/x
  3. Step 3: Cross multiply
    8,262.77x = 11,407.07 × 6,370.21
  4. Step 4: Simplify right side
    8,262.77x = 72,665,342.50
  5. Step 5: Solve for x
    x = 72,665,342.50/8,262.77
  6. Step 6: Final answer
    x = 8,794.31

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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.