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Finding the Fourth Proportional to 15,692.74, 23,539.11 and 5,834.50

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Solution

The fourth proportional to 15,692.74, 23,539.11 and 5,834.50 is: 8,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.74 : 23,539.11 = 5,834.50 : x
  2. Step 2: Convert to fraction form
    15,692.74/23,539.11 = 5,834.50/x
  3. Step 3: Cross multiply
    15,692.74x = 23,539.11 × 5,834.50
  4. Step 4: Simplify right side
    15,692.74x = 137,338,937.30
  5. Step 5: Solve for x
    x = 137,338,937.30/15,692.74
  6. Step 6: Final answer
    x = 8,751.75

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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.