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Finding the Fourth Proportional to 12,188.48, 16,820.12 and 6,599.48

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Solution

The fourth proportional to 12,188.48, 16,820.12 and 6,599.48 is: 9,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.48 : 16,820.12 = 6,599.48 : x
  2. Step 2: Convert to fraction form
    12,188.48/16,820.12 = 6,599.48/x
  3. Step 3: Cross multiply
    12,188.48x = 16,820.12 × 6,599.48
  4. Step 4: Simplify right side
    12,188.48x = 111,004,045.54
  5. Step 5: Solve for x
    x = 111,004,045.54/12,188.48
  6. Step 6: Final answer
    x = 9,107.29

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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.