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Finding the Fourth Proportional to 9,771.92, 14,643.44 and 5,819.12

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Solution

The fourth proportional to 9,771.92, 14,643.44 and 5,819.12 is: 8,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.92 : 14,643.44 = 5,819.12 : x
  2. Step 2: Convert to fraction form
    9,771.92/14,643.44 = 5,819.12/x
  3. Step 3: Cross multiply
    9,771.92x = 14,643.44 × 5,819.12
  4. Step 4: Simplify right side
    9,771.92x = 85,211,934.57
  5. Step 5: Solve for x
    x = 85,211,934.57/9,771.92
  6. Step 6: Final answer
    x = 8,720.08

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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.