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Finding the Fourth Proportional to 11,790.50, 16,270.90 and 6,822.50

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Solution

The fourth proportional to 11,790.50, 16,270.90 and 6,822.50 is: 9,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.50 : 16,270.90 = 6,822.50 : x
  2. Step 2: Convert to fraction form
    11,790.50/16,270.90 = 6,822.50/x
  3. Step 3: Cross multiply
    11,790.50x = 16,270.90 × 6,822.50
  4. Step 4: Simplify right side
    11,790.50x = 111,008,215.25
  5. Step 5: Solve for x
    x = 111,008,215.25/11,790.50
  6. Step 6: Final answer
    x = 9,415.06

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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.