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Finding the Fourth Proportional to 8,564.99, 11,774.27 and 7,365.56

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Solution

The fourth proportional to 8,564.99, 11,774.27 and 7,365.56 is: 10,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.99 : 11,774.27 = 7,365.56 : x
  2. Step 2: Convert to fraction form
    8,564.99/11,774.27 = 7,365.56/x
  3. Step 3: Cross multiply
    8,564.99x = 11,774.27 × 7,365.56
  4. Step 4: Simplify right side
    8,564.99x = 86,724,092.14
  5. Step 5: Solve for x
    x = 86,724,092.14/8,564.99
  6. Step 6: Final answer
    x = 10,125.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.