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Finding the Fourth Proportional to 8,157.50, 11,257.36 and 4,431.50

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Solution

The fourth proportional to 8,157.50, 11,257.36 and 4,431.50 is: 6,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.50 : 11,257.36 = 4,431.50 : x
  2. Step 2: Convert to fraction form
    8,157.50/11,257.36 = 4,431.50/x
  3. Step 3: Cross multiply
    8,157.50x = 11,257.36 × 4,431.50
  4. Step 4: Simplify right side
    8,157.50x = 49,886,990.84
  5. Step 5: Solve for x
    x = 49,886,990.84/8,157.50
  6. Step 6: Final answer
    x = 6,115.48

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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.