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Finding the Fourth Proportional to 13,575.53, 18,743.39 and 8,478.83

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Solution

The fourth proportional to 13,575.53, 18,743.39 and 8,478.83 is: 11,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.53 : 18,743.39 = 8,478.83 : x
  2. Step 2: Convert to fraction form
    13,575.53/18,743.39 = 8,478.83/x
  3. Step 3: Cross multiply
    13,575.53x = 18,743.39 × 8,478.83
  4. Step 4: Simplify right side
    13,575.53x = 158,922,017.43
  5. Step 5: Solve for x
    x = 158,922,017.43/13,575.53
  6. Step 6: Final answer
    x = 11,706.51

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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.