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Finding the Fourth Proportional to 22,577.54, 33,868.53 and 7,784.51

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Solution

The fourth proportional to 22,577.54, 33,868.53 and 7,784.51 is: 11,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.54 : 33,868.53 = 7,784.51 : x
  2. Step 2: Convert to fraction form
    22,577.54/33,868.53 = 7,784.51/x
  3. Step 3: Cross multiply
    22,577.54x = 33,868.53 × 7,784.51
  4. Step 4: Simplify right side
    22,577.54x = 263,649,910.47
  5. Step 5: Solve for x
    x = 263,649,910.47/22,577.54
  6. Step 6: Final answer
    x = 11,677.53

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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.