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Finding the Fourth Proportional to 12,786.52, 19,179.34 and 6,210.94

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Solution

The fourth proportional to 12,786.52, 19,179.34 and 6,210.94 is: 9,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.52 : 19,179.34 = 6,210.94 : x
  2. Step 2: Convert to fraction form
    12,786.52/19,179.34 = 6,210.94/x
  3. Step 3: Cross multiply
    12,786.52x = 19,179.34 × 6,210.94
  4. Step 4: Simplify right side
    12,786.52x = 119,121,666.50
  5. Step 5: Solve for x
    x = 119,121,666.50/12,786.52
  6. Step 6: Final answer
    x = 9,316.19

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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.