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Finding the Fourth Proportional to 9,696.23, 14,551.67 and 7,771.67

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Solution

The fourth proportional to 9,696.23, 14,551.67 and 7,771.67 is: 11,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.23 : 14,551.67 = 7,771.67 : x
  2. Step 2: Convert to fraction form
    9,696.23/14,551.67 = 7,771.67/x
  3. Step 3: Cross multiply
    9,696.23x = 14,551.67 × 7,771.67
  4. Step 4: Simplify right side
    9,696.23x = 113,090,777.19
  5. Step 5: Solve for x
    x = 113,090,777.19/9,696.23
  6. Step 6: Final answer
    x = 11,663.38

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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.