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Finding the Fourth Proportional to 13,194.70, 18,208.01 and 7,225.22

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Solution

The fourth proportional to 13,194.70, 18,208.01 and 7,225.22 is: 9,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.70 : 18,208.01 = 7,225.22 : x
  2. Step 2: Convert to fraction form
    13,194.70/18,208.01 = 7,225.22/x
  3. Step 3: Cross multiply
    13,194.70x = 18,208.01 × 7,225.22
  4. Step 4: Simplify right side
    13,194.70x = 131,556,750.85
  5. Step 5: Solve for x
    x = 131,556,750.85/13,194.70
  6. Step 6: Final answer
    x = 9,970.42

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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.