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Finding the Fourth Proportional to 13,219.80, 19,802.10 and 6,205.80

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Solution

The fourth proportional to 13,219.80, 19,802.10 and 6,205.80 is: 9,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.80 : 19,802.10 = 6,205.80 : x
  2. Step 2: Convert to fraction form
    13,219.80/19,802.10 = 6,205.80/x
  3. Step 3: Cross multiply
    13,219.80x = 19,802.10 × 6,205.80
  4. Step 4: Simplify right side
    13,219.80x = 122,887,872.18
  5. Step 5: Solve for x
    x = 122,887,872.18/13,219.80
  6. Step 6: Final answer
    x = 9,295.74

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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.