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Finding the Fourth Proportional to 6,324.34, 9,487.90 and 1,942.16

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Solution

The fourth proportional to 6,324.34, 9,487.90 and 1,942.16 is: 2,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.34 : 9,487.90 = 1,942.16 : x
  2. Step 2: Convert to fraction form
    6,324.34/9,487.90 = 1,942.16/x
  3. Step 3: Cross multiply
    6,324.34x = 9,487.90 × 1,942.16
  4. Step 4: Simplify right side
    6,324.34x = 18,427,019.86
  5. Step 5: Solve for x
    x = 18,427,019.86/6,324.34
  6. Step 6: Final answer
    x = 2,913.67

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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.