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Finding the Fourth Proportional to 9,771.09, 14,622.48 and 7,995.57

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Solution

The fourth proportional to 9,771.09, 14,622.48 and 7,995.57 is: 11,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.09 : 14,622.48 = 7,995.57 : x
  2. Step 2: Convert to fraction form
    9,771.09/14,622.48 = 7,995.57/x
  3. Step 3: Cross multiply
    9,771.09x = 14,622.48 × 7,995.57
  4. Step 4: Simplify right side
    9,771.09x = 116,915,062.41
  5. Step 5: Solve for x
    x = 116,915,062.41/9,771.09
  6. Step 6: Final answer
    x = 11,965.41

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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.