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Finding the Fourth Proportional to 12,324.54, 17,010.88 and 7,022.48

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Solution

The fourth proportional to 12,324.54, 17,010.88 and 7,022.48 is: 9,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.54 : 17,010.88 = 7,022.48 : x
  2. Step 2: Convert to fraction form
    12,324.54/17,010.88 = 7,022.48/x
  3. Step 3: Cross multiply
    12,324.54x = 17,010.88 × 7,022.48
  4. Step 4: Simplify right side
    12,324.54x = 119,458,564.58
  5. Step 5: Solve for x
    x = 119,458,564.58/12,324.54
  6. Step 6: Final answer
    x = 9,692.74

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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.