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Finding the Fourth Proportional to 13,201.46, 19,802.20 and 3,967.46

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Solution

The fourth proportional to 13,201.46, 19,802.20 and 3,967.46 is: 5,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.46 : 19,802.20 = 3,967.46 : x
  2. Step 2: Convert to fraction form
    13,201.46/19,802.20 = 3,967.46/x
  3. Step 3: Cross multiply
    13,201.46x = 19,802.20 × 3,967.46
  4. Step 4: Simplify right side
    13,201.46x = 78,564,436.41
  5. Step 5: Solve for x
    x = 78,564,436.41/13,201.46
  6. Step 6: Final answer
    x = 5,951.19

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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.