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Finding the Fourth Proportional to 9,894.82, 14,823.60 and 7,692.85

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Solution

The fourth proportional to 9,894.82, 14,823.60 and 7,692.85 is: 11,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.82 : 14,823.60 = 7,692.85 : x
  2. Step 2: Convert to fraction form
    9,894.82/14,823.60 = 7,692.85/x
  3. Step 3: Cross multiply
    9,894.82x = 14,823.60 × 7,692.85
  4. Step 4: Simplify right side
    9,894.82x = 114,035,731.26
  5. Step 5: Solve for x
    x = 114,035,731.26/9,894.82
  6. Step 6: Final answer
    x = 11,524.79

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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.