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Finding the Fourth Proportional to 12,333, 17,019.49 and 7,027.86

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Solution

The fourth proportional to 12,333, 17,019.49 and 7,027.86 is: 9,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333 : 17,019.49 = 7,027.86 : x
  2. Step 2: Convert to fraction form
    12,333/17,019.49 = 7,027.86/x
  3. Step 3: Cross multiply
    12,333x = 17,019.49 × 7,027.86
  4. Step 4: Simplify right side
    12,333x = 119,610,592.99
  5. Step 5: Solve for x
    x = 119,610,592.99/12,333
  6. Step 6: Final answer
    x = 9,698.42

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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.