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Finding the Fourth Proportional to 7,696.14, 11,544.21 and 1,852.75

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Solution

The fourth proportional to 7,696.14, 11,544.21 and 1,852.75 is: 2,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.14 : 11,544.21 = 1,852.75 : x
  2. Step 2: Convert to fraction form
    7,696.14/11,544.21 = 1,852.75/x
  3. Step 3: Cross multiply
    7,696.14x = 11,544.21 × 1,852.75
  4. Step 4: Simplify right side
    7,696.14x = 21,388,484.84
  5. Step 5: Solve for x
    x = 21,388,484.84/7,696.14
  6. Step 6: Final answer
    x = 2,779.12

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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.