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Finding the Fourth Proportional to 13,975.46, 20,964.60 and 4,615.50

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Solution

The fourth proportional to 13,975.46, 20,964.60 and 4,615.50 is: 6,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.46 : 20,964.60 = 4,615.50 : x
  2. Step 2: Convert to fraction form
    13,975.46/20,964.60 = 4,615.50/x
  3. Step 3: Cross multiply
    13,975.46x = 20,964.60 × 4,615.50
  4. Step 4: Simplify right side
    13,975.46x = 96,762,111.30
  5. Step 5: Solve for x
    x = 96,762,111.30/13,975.46
  6. Step 6: Final answer
    x = 6,923.72

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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.