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Finding the Fourth Proportional to 12,794.50, 19,191.75 and 5,498.50

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Solution

The fourth proportional to 12,794.50, 19,191.75 and 5,498.50 is: 8,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.50 : 19,191.75 = 5,498.50 : x
  2. Step 2: Convert to fraction form
    12,794.50/19,191.75 = 5,498.50/x
  3. Step 3: Cross multiply
    12,794.50x = 19,191.75 × 5,498.50
  4. Step 4: Simplify right side
    12,794.50x = 105,525,837.38
  5. Step 5: Solve for x
    x = 105,525,837.38/12,794.50
  6. Step 6: Final answer
    x = 8,247.75

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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.