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Finding the Fourth Proportional to 7,699.14, 11,488.24 and 7,228.94

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Solution

The fourth proportional to 7,699.14, 11,488.24 and 7,228.94 is: 10,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.14 : 11,488.24 = 7,228.94 : x
  2. Step 2: Convert to fraction form
    7,699.14/11,488.24 = 7,228.94/x
  3. Step 3: Cross multiply
    7,699.14x = 11,488.24 × 7,228.94
  4. Step 4: Simplify right side
    7,699.14x = 83,047,749.26
  5. Step 5: Solve for x
    x = 83,047,749.26/7,699.14
  6. Step 6: Final answer
    x = 10,786.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.