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Finding the Fourth Proportional to 12,802.34, 19,203.42 and 3,568.34

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Solution

The fourth proportional to 12,802.34, 19,203.42 and 3,568.34 is: 5,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.34 : 19,203.42 = 3,568.34 : x
  2. Step 2: Convert to fraction form
    12,802.34/19,203.42 = 3,568.34/x
  3. Step 3: Cross multiply
    12,802.34x = 19,203.42 × 3,568.34
  4. Step 4: Simplify right side
    12,802.34x = 68,524,331.72
  5. Step 5: Solve for x
    x = 68,524,331.72/12,802.34
  6. Step 6: Final answer
    x = 5,352.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.