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Finding the Fourth Proportional to 13,874.76, 19,146.96 and 8,284.68

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Solution

The fourth proportional to 13,874.76, 19,146.96 and 8,284.68 is: 11,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.76 : 19,146.96 = 8,284.68 : x
  2. Step 2: Convert to fraction form
    13,874.76/19,146.96 = 8,284.68/x
  3. Step 3: Cross multiply
    13,874.76x = 19,146.96 × 8,284.68
  4. Step 4: Simplify right side
    13,874.76x = 158,626,436.57
  5. Step 5: Solve for x
    x = 158,626,436.57/13,874.76
  6. Step 6: Final answer
    x = 11,432.73

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Double scale
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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.