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Finding the Fourth Proportional to 12,800.58, 17,664.61 and 7,135.54

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Solution

The fourth proportional to 12,800.58, 17,664.61 and 7,135.54 is: 9,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.58 : 17,664.61 = 7,135.54 : x
  2. Step 2: Convert to fraction form
    12,800.58/17,664.61 = 7,135.54/x
  3. Step 3: Cross multiply
    12,800.58x = 17,664.61 × 7,135.54
  4. Step 4: Simplify right side
    12,800.58x = 126,046,531.24
  5. Step 5: Solve for x
    x = 126,046,531.24/12,800.58
  6. Step 6: Final answer
    x = 9,846.94

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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.