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Finding the Fourth Proportional to 8,500.95, 11,729.66 and 4,964.31

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Solution

The fourth proportional to 8,500.95, 11,729.66 and 4,964.31 is: 6,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.95 : 11,729.66 = 4,964.31 : x
  2. Step 2: Convert to fraction form
    8,500.95/11,729.66 = 4,964.31/x
  3. Step 3: Cross multiply
    8,500.95x = 11,729.66 × 4,964.31
  4. Step 4: Simplify right side
    8,500.95x = 58,229,643.61
  5. Step 5: Solve for x
    x = 58,229,643.61/8,500.95
  6. Step 6: Final answer
    x = 6,849.78

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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.