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Finding the Fourth Proportional to 9,711.50, 14,540.51 and 5,021.60

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Solution

The fourth proportional to 9,711.50, 14,540.51 and 5,021.60 is: 7,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.50 : 14,540.51 = 5,021.60 : x
  2. Step 2: Convert to fraction form
    9,711.50/14,540.51 = 5,021.60/x
  3. Step 3: Cross multiply
    9,711.50x = 14,540.51 × 5,021.60
  4. Step 4: Simplify right side
    9,711.50x = 73,016,564.87
  5. Step 5: Solve for x
    x = 73,016,564.87/9,711.50
  6. Step 6: Final answer
    x = 7,518.57

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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.