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Finding the Fourth Proportional to 6,445.70, 9,668.65 and 3,652.41

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Solution

The fourth proportional to 6,445.70, 9,668.65 and 3,652.41 is: 5,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.70 : 9,668.65 = 3,652.41 : x
  2. Step 2: Convert to fraction form
    6,445.70/9,668.65 = 3,652.41/x
  3. Step 3: Cross multiply
    6,445.70x = 9,668.65 × 3,652.41
  4. Step 4: Simplify right side
    6,445.70x = 35,313,873.95
  5. Step 5: Solve for x
    x = 35,313,873.95/6,445.70
  6. Step 6: Final answer
    x = 5,478.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.