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Finding the Fourth Proportional to 7,218.84, 9,962.00 and 3,906.84

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Solution

The fourth proportional to 7,218.84, 9,962.00 and 3,906.84 is: 5,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.84 : 9,962.00 = 3,906.84 : x
  2. Step 2: Convert to fraction form
    7,218.84/9,962.00 = 3,906.84/x
  3. Step 3: Cross multiply
    7,218.84x = 9,962.00 × 3,906.84
  4. Step 4: Simplify right side
    7,218.84x = 38,919,994.53
  5. Step 5: Solve for x
    x = 38,919,994.53/7,218.84
  6. Step 6: Final answer
    x = 5,391.44

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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.