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Finding the Fourth Proportional to 9,696.33, 14,544.50 and 7,739.37

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Solution

The fourth proportional to 9,696.33, 14,544.50 and 7,739.37 is: 11,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.33 : 14,544.50 = 7,739.37 : x
  2. Step 2: Convert to fraction form
    9,696.33/14,544.50 = 7,739.37/x
  3. Step 3: Cross multiply
    9,696.33x = 14,544.50 × 7,739.37
  4. Step 4: Simplify right side
    9,696.33x = 112,565,228.27
  5. Step 5: Solve for x
    x = 112,565,228.27/9,696.33
  6. Step 6: Final answer
    x = 11,609.06

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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.