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Finding the Fourth Proportional to 8,141.50, 11,235.27 and 4,415.50

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Solution

The fourth proportional to 8,141.50, 11,235.27 and 4,415.50 is: 6,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.50 : 11,235.27 = 4,415.50 : x
  2. Step 2: Convert to fraction form
    8,141.50/11,235.27 = 4,415.50/x
  3. Step 3: Cross multiply
    8,141.50x = 11,235.27 × 4,415.50
  4. Step 4: Simplify right side
    8,141.50x = 49,609,334.69
  5. Step 5: Solve for x
    x = 49,609,334.69/8,141.50
  6. Step 6: Final answer
    x = 6,093.39

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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.