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Finding the Fourth Proportional to 9,489.15, 13,092.84 and 5,507.90

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Solution

The fourth proportional to 9,489.15, 13,092.84 and 5,507.90 is: 7,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.15 : 13,092.84 = 5,507.90 : x
  2. Step 2: Convert to fraction form
    9,489.15/13,092.84 = 5,507.90/x
  3. Step 3: Cross multiply
    9,489.15x = 13,092.84 × 5,507.90
  4. Step 4: Simplify right side
    9,489.15x = 72,114,037.07
  5. Step 5: Solve for x
    x = 72,114,037.07/9,489.15
  6. Step 6: Final answer
    x = 7,599.63

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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.