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Finding the Fourth Proportional to 5,922.09, 8,883 and 1,539.59

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Solution

The fourth proportional to 5,922.09, 8,883 and 1,539.59 is: 2,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.09 : 8,883 = 1,539.59 : x
  2. Step 2: Convert to fraction form
    5,922.09/8,883 = 1,539.59/x
  3. Step 3: Cross multiply
    5,922.09x = 8,883 × 1,539.59
  4. Step 4: Simplify right side
    5,922.09x = 13,676,133.56
  5. Step 5: Solve for x
    x = 13,676,133.56/5,922.09
  6. Step 6: Final answer
    x = 2,309.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.