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Finding the Fourth Proportional to 8,549.88, 11,796.06 and 4,772.43

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Solution

The fourth proportional to 8,549.88, 11,796.06 and 4,772.43 is: 6,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.88 : 11,796.06 = 4,772.43 : x
  2. Step 2: Convert to fraction form
    8,549.88/11,796.06 = 4,772.43/x
  3. Step 3: Cross multiply
    8,549.88x = 11,796.06 × 4,772.43
  4. Step 4: Simplify right side
    8,549.88x = 56,295,870.63
  5. Step 5: Solve for x
    x = 56,295,870.63/8,549.88
  6. Step 6: Final answer
    x = 6,584.40

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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.