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Finding the Fourth Proportional to 11,484.54, 15,847.38 and 6,447.74

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Solution

The fourth proportional to 11,484.54, 15,847.38 and 6,447.74 is: 8,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.54 : 15,847.38 = 6,447.74 : x
  2. Step 2: Convert to fraction form
    11,484.54/15,847.38 = 6,447.74/x
  3. Step 3: Cross multiply
    11,484.54x = 15,847.38 × 6,447.74
  4. Step 4: Simplify right side
    11,484.54x = 102,179,706.68
  5. Step 5: Solve for x
    x = 102,179,706.68/11,484.54
  6. Step 6: Final answer
    x = 8,897.15

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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.