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Finding the Fourth Proportional to 8,450.51, 11,664.97 and 7,564.77

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Solution

The fourth proportional to 8,450.51, 11,664.97 and 7,564.77 is: 10,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.51 : 11,664.97 = 7,564.77 : x
  2. Step 2: Convert to fraction form
    8,450.51/11,664.97 = 7,564.77/x
  3. Step 3: Cross multiply
    8,450.51x = 11,664.97 × 7,564.77
  4. Step 4: Simplify right side
    8,450.51x = 88,242,796.19
  5. Step 5: Solve for x
    x = 88,242,796.19/8,450.51
  6. Step 6: Final answer
    x = 10,442.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.