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Finding the Fourth Proportional to 13,192.52, 18,204.94 and 7,223

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Solution

The fourth proportional to 13,192.52, 18,204.94 and 7,223 is: 9,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.52 : 18,204.94 = 7,223 : x
  2. Step 2: Convert to fraction form
    13,192.52/18,204.94 = 7,223/x
  3. Step 3: Cross multiply
    13,192.52x = 18,204.94 × 7,223
  4. Step 4: Simplify right side
    13,192.52x = 131,494,281.62
  5. Step 5: Solve for x
    x = 131,494,281.62/13,192.52
  6. Step 6: Final answer
    x = 9,967.34

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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.