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Finding the Fourth Proportional to 13,463.84, 18,578.61 and 7,494.54

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Solution

The fourth proportional to 13,463.84, 18,578.61 and 7,494.54 is: 10,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.84 : 18,578.61 = 7,494.54 : x
  2. Step 2: Convert to fraction form
    13,463.84/18,578.61 = 7,494.54/x
  3. Step 3: Cross multiply
    13,463.84x = 18,578.61 × 7,494.54
  4. Step 4: Simplify right side
    13,463.84x = 139,238,135.79
  5. Step 5: Solve for x
    x = 139,238,135.79/13,463.84
  6. Step 6: Final answer
    x = 10,341.64

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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.