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Finding the Fourth Proportional to 9,340.16, 14,000.16 and 3,791.84

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Solution

The fourth proportional to 9,340.16, 14,000.16 and 3,791.84 is: 5,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.16 : 14,000.16 = 3,791.84 : x
  2. Step 2: Convert to fraction form
    9,340.16/14,000.16 = 3,791.84/x
  3. Step 3: Cross multiply
    9,340.16x = 14,000.16 × 3,791.84
  4. Step 4: Simplify right side
    9,340.16x = 53,086,366.69
  5. Step 5: Solve for x
    x = 53,086,366.69/9,340.16
  6. Step 6: Final answer
    x = 5,683.67

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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.