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Finding the Fourth Proportional to 12,800.50, 17,664.69 and 6,912.50

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Solution

The fourth proportional to 12,800.50, 17,664.69 and 6,912.50 is: 9,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.50 : 17,664.69 = 6,912.50 : x
  2. Step 2: Convert to fraction form
    12,800.50/17,664.69 = 6,912.50/x
  3. Step 3: Cross multiply
    12,800.50x = 17,664.69 × 6,912.50
  4. Step 4: Simplify right side
    12,800.50x = 122,107,169.63
  5. Step 5: Solve for x
    x = 122,107,169.63/12,800.50
  6. Step 6: Final answer
    x = 9,539.25

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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.