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Finding the Fourth Proportional to 13,462.80, 18,578.46 and 7,494.46

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Solution

The fourth proportional to 13,462.80, 18,578.46 and 7,494.46 is: 10,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.80 : 18,578.46 = 7,494.46 : x
  2. Step 2: Convert to fraction form
    13,462.80/18,578.46 = 7,494.46/x
  3. Step 3: Cross multiply
    13,462.80x = 18,578.46 × 7,494.46
  4. Step 4: Simplify right side
    13,462.80x = 139,235,525.33
  5. Step 5: Solve for x
    x = 139,235,525.33/13,462.80
  6. Step 6: Final answer
    x = 10,342.24

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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.