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Finding the Fourth Proportional to 9,577.66, 13,213.11 and 5,849.50

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Solution

The fourth proportional to 9,577.66, 13,213.11 and 5,849.50 is: 8,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.66 : 13,213.11 = 5,849.50 : x
  2. Step 2: Convert to fraction form
    9,577.66/13,213.11 = 5,849.50/x
  3. Step 3: Cross multiply
    9,577.66x = 13,213.11 × 5,849.50
  4. Step 4: Simplify right side
    9,577.66x = 77,290,086.95
  5. Step 5: Solve for x
    x = 77,290,086.95/9,577.66
  6. Step 6: Final answer
    x = 8,069.83

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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.