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Finding the Fourth Proportional to 9,313.70, 13,970.43 and 2,293.80

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Solution

The fourth proportional to 9,313.70, 13,970.43 and 2,293.80 is: 3,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.70 : 13,970.43 = 2,293.80 : x
  2. Step 2: Convert to fraction form
    9,313.70/13,970.43 = 2,293.80/x
  3. Step 3: Cross multiply
    9,313.70x = 13,970.43 × 2,293.80
  4. Step 4: Simplify right side
    9,313.70x = 32,045,372.33
  5. Step 5: Solve for x
    x = 32,045,372.33/9,313.70
  6. Step 6: Final answer
    x = 3,440.67

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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.