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Finding the Fourth Proportional to 12,642.69, 18,958.51 and 6,718.14

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Solution

The fourth proportional to 12,642.69, 18,958.51 and 6,718.14 is: 10,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.69 : 18,958.51 = 6,718.14 : x
  2. Step 2: Convert to fraction form
    12,642.69/18,958.51 = 6,718.14/x
  3. Step 3: Cross multiply
    12,642.69x = 18,958.51 × 6,718.14
  4. Step 4: Simplify right side
    12,642.69x = 127,366,003.86
  5. Step 5: Solve for x
    x = 127,366,003.86/12,642.69
  6. Step 6: Final answer
    x = 10,074.28

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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.