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Finding the Fourth Proportional to 5,188.98, 7,783.52 and 1,293.39

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Solution

The fourth proportional to 5,188.98, 7,783.52 and 1,293.39 is: 1,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.98 : 7,783.52 = 1,293.39 : x
  2. Step 2: Convert to fraction form
    5,188.98/7,783.52 = 1,293.39/x
  3. Step 3: Cross multiply
    5,188.98x = 7,783.52 × 1,293.39
  4. Step 4: Simplify right side
    5,188.98x = 10,067,126.93
  5. Step 5: Solve for x
    x = 10,067,126.93/5,188.98
  6. Step 6: Final answer
    x = 1,940.10

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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.