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Finding the Fourth Proportional to 12,703.43, 19,066.97 and 6,468.11

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Solution

The fourth proportional to 12,703.43, 19,066.97 and 6,468.11 is: 9,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.43 : 19,066.97 = 6,468.11 : x
  2. Step 2: Convert to fraction form
    12,703.43/19,066.97 = 6,468.11/x
  3. Step 3: Cross multiply
    12,703.43x = 19,066.97 × 6,468.11
  4. Step 4: Simplify right side
    12,703.43x = 123,327,131.65
  5. Step 5: Solve for x
    x = 123,327,131.65/12,703.43
  6. Step 6: Final answer
    x = 9,708.17

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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.