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Finding the Fourth Proportional to 15,041, 22,561.50 and 4,097

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Solution

The fourth proportional to 15,041, 22,561.50 and 4,097 is: 6,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,041 : 22,561.50 = 4,097 : x
  2. Step 2: Convert to fraction form
    15,041/22,561.50 = 4,097/x
  3. Step 3: Cross multiply
    15,041x = 22,561.50 × 4,097
  4. Step 4: Simplify right side
    15,041x = 92,434,465.50
  5. Step 5: Solve for x
    x = 92,434,465.50/15,041
  6. Step 6: Final answer
    x = 6,145.50

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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.