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Finding the Fourth Proportional to 6,376.50, 8,795.76 and 4,014.54

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Solution

The fourth proportional to 6,376.50, 8,795.76 and 4,014.54 is: 5,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.50 : 8,795.76 = 4,014.54 : x
  2. Step 2: Convert to fraction form
    6,376.50/8,795.76 = 4,014.54/x
  3. Step 3: Cross multiply
    6,376.50x = 8,795.76 × 4,014.54
  4. Step 4: Simplify right side
    6,376.50x = 35,310,930.35
  5. Step 5: Solve for x
    x = 35,310,930.35/6,376.50
  6. Step 6: Final answer
    x = 5,537.67

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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.