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Finding the Fourth Proportional to 12,814.60, 19,221.09 and 5,795.14

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Solution

The fourth proportional to 12,814.60, 19,221.09 and 5,795.14 is: 8,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.60 : 19,221.09 = 5,795.14 : x
  2. Step 2: Convert to fraction form
    12,814.60/19,221.09 = 5,795.14/x
  3. Step 3: Cross multiply
    12,814.60x = 19,221.09 × 5,795.14
  4. Step 4: Simplify right side
    12,814.60x = 111,388,907.50
  5. Step 5: Solve for x
    x = 111,388,907.50/12,814.60
  6. Step 6: Final answer
    x = 8,692.34

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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.