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Finding the Fourth Proportional to 7,975.83, 11,970.13 and 3,593.63

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Solution

The fourth proportional to 7,975.83, 11,970.13 and 3,593.63 is: 5,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.83 : 11,970.13 = 3,593.63 : x
  2. Step 2: Convert to fraction form
    7,975.83/11,970.13 = 3,593.63/x
  3. Step 3: Cross multiply
    7,975.83x = 11,970.13 × 3,593.63
  4. Step 4: Simplify right side
    7,975.83x = 43,016,245.95
  5. Step 5: Solve for x
    x = 43,016,245.95/7,975.83
  6. Step 6: Final answer
    x = 5,393.32

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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.