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Finding the Fourth Proportional to 12,670.68, 17,486.36 and 7,294.96

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Solution

The fourth proportional to 12,670.68, 17,486.36 and 7,294.96 is: 10,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.68 : 17,486.36 = 7,294.96 : x
  2. Step 2: Convert to fraction form
    12,670.68/17,486.36 = 7,294.96/x
  3. Step 3: Cross multiply
    12,670.68x = 17,486.36 × 7,294.96
  4. Step 4: Simplify right side
    12,670.68x = 127,562,296.75
  5. Step 5: Solve for x
    x = 127,562,296.75/12,670.68
  6. Step 6: Final answer
    x = 10,067.52

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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.