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Finding the Fourth Proportional to 12,449.14, 17,179.65 and 6,784.13

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Solution

The fourth proportional to 12,449.14, 17,179.65 and 6,784.13 is: 9,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.14 : 17,179.65 = 6,784.13 : x
  2. Step 2: Convert to fraction form
    12,449.14/17,179.65 = 6,784.13/x
  3. Step 3: Cross multiply
    12,449.14x = 17,179.65 × 6,784.13
  4. Step 4: Simplify right side
    12,449.14x = 116,548,978.95
  5. Step 5: Solve for x
    x = 116,548,978.95/12,449.14
  6. Step 6: Final answer
    x = 9,362.01

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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.