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Finding the Fourth Proportional to 13,194.84, 18,208.18 and 7,226.48

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Solution

The fourth proportional to 13,194.84, 18,208.18 and 7,226.48 is: 9,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.84 : 18,208.18 = 7,226.48 : x
  2. Step 2: Convert to fraction form
    13,194.84/18,208.18 = 7,226.48/x
  3. Step 3: Cross multiply
    13,194.84x = 18,208.18 × 7,226.48
  4. Step 4: Simplify right side
    13,194.84x = 131,581,048.61
  5. Step 5: Solve for x
    x = 131,581,048.61/13,194.84
  6. Step 6: Final answer
    x = 9,972.16

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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.