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Finding the Fourth Proportional to 9,773.85, 13,487.94 and 5,739.90

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Solution

The fourth proportional to 9,773.85, 13,487.94 and 5,739.90 is: 7,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.85 : 13,487.94 = 5,739.90 : x
  2. Step 2: Convert to fraction form
    9,773.85/13,487.94 = 5,739.90/x
  3. Step 3: Cross multiply
    9,773.85x = 13,487.94 × 5,739.90
  4. Step 4: Simplify right side
    9,773.85x = 77,419,398.11
  5. Step 5: Solve for x
    x = 77,419,398.11/9,773.85
  6. Step 6: Final answer
    x = 7,921.07

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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.