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Finding the Fourth Proportional to 6,366.86, 8,786.10 and 3,534.22

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Solution

The fourth proportional to 6,366.86, 8,786.10 and 3,534.22 is: 4,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.86 : 8,786.10 = 3,534.22 : x
  2. Step 2: Convert to fraction form
    6,366.86/8,786.10 = 3,534.22/x
  3. Step 3: Cross multiply
    6,366.86x = 8,786.10 × 3,534.22
  4. Step 4: Simplify right side
    6,366.86x = 31,052,029.47
  5. Step 5: Solve for x
    x = 31,052,029.47/6,366.86
  6. Step 6: Final answer
    x = 4,877.13

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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.