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Finding the Fourth Proportional to 7,821.50, 10,794.94 and 4,464.45

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Solution

The fourth proportional to 7,821.50, 10,794.94 and 4,464.45 is: 6,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.50 : 10,794.94 = 4,464.45 : x
  2. Step 2: Convert to fraction form
    7,821.50/10,794.94 = 4,464.45/x
  3. Step 3: Cross multiply
    7,821.50x = 10,794.94 × 4,464.45
  4. Step 4: Simplify right side
    7,821.50x = 48,193,458.72
  5. Step 5: Solve for x
    x = 48,193,458.72/7,821.50
  6. Step 6: Final answer
    x = 6,161.67

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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.