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Finding the Fourth Proportional to 13,463.13, 18,578.62 and 7,494.68

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Solution

The fourth proportional to 13,463.13, 18,578.62 and 7,494.68 is: 10,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.13 : 18,578.62 = 7,494.68 : x
  2. Step 2: Convert to fraction form
    13,463.13/18,578.62 = 7,494.68/x
  3. Step 3: Cross multiply
    13,463.13x = 18,578.62 × 7,494.68
  4. Step 4: Simplify right side
    13,463.13x = 139,240,720.89
  5. Step 5: Solve for x
    x = 139,240,720.89/13,463.13
  6. Step 6: Final answer
    x = 10,342.38

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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.