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Finding the Fourth Proportional to 6,847.50, 9,446.85 and 4,328.67

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Solution

The fourth proportional to 6,847.50, 9,446.85 and 4,328.67 is: 5,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.50 : 9,446.85 = 4,328.67 : x
  2. Step 2: Convert to fraction form
    6,847.50/9,446.85 = 4,328.67/x
  3. Step 3: Cross multiply
    6,847.50x = 9,446.85 × 4,328.67
  4. Step 4: Simplify right side
    6,847.50x = 40,892,296.19
  5. Step 5: Solve for x
    x = 40,892,296.19/6,847.50
  6. Step 6: Final answer
    x = 5,971.86

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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.