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Finding the Fourth Proportional to 22,847.50, 34,262.73 and 7,851.51

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Solution

The fourth proportional to 22,847.50, 34,262.73 and 7,851.51 is: 11,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.50 : 34,262.73 = 7,851.51 : x
  2. Step 2: Convert to fraction form
    22,847.50/34,262.73 = 7,851.51/x
  3. Step 3: Cross multiply
    22,847.50x = 34,262.73 × 7,851.51
  4. Step 4: Simplify right side
    22,847.50x = 269,014,167.22
  5. Step 5: Solve for x
    x = 269,014,167.22/22,847.50
  6. Step 6: Final answer
    x = 11,774.34

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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.