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Finding the Fourth Proportional to 9,824.62, 14,751.72 and 8,452.90

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Solution

The fourth proportional to 9,824.62, 14,751.72 and 8,452.90 is: 12,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.62 : 14,751.72 = 8,452.90 : x
  2. Step 2: Convert to fraction form
    9,824.62/14,751.72 = 8,452.90/x
  3. Step 3: Cross multiply
    9,824.62x = 14,751.72 × 8,452.90
  4. Step 4: Simplify right side
    9,824.62x = 124,694,813.99
  5. Step 5: Solve for x
    x = 124,694,813.99/9,824.62
  6. Step 6: Final answer
    x = 12,692.08

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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.