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Finding the Fourth Proportional to 15,795, 23,692.50 and 4,851

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Solution

The fourth proportional to 15,795, 23,692.50 and 4,851 is: 7,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,795 : 23,692.50 = 4,851 : x
  2. Step 2: Convert to fraction form
    15,795/23,692.50 = 4,851/x
  3. Step 3: Cross multiply
    15,795x = 23,692.50 × 4,851
  4. Step 4: Simplify right side
    15,795x = 114,932,317.50
  5. Step 5: Solve for x
    x = 114,932,317.50/15,795
  6. Step 6: Final answer
    x = 7,276.50

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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.