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Finding the Fourth Proportional to 7,199.25, 9,933.51 and 4,214.49

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Solution

The fourth proportional to 7,199.25, 9,933.51 and 4,214.49 is: 5,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.25 : 9,933.51 = 4,214.49 : x
  2. Step 2: Convert to fraction form
    7,199.25/9,933.51 = 4,214.49/x
  3. Step 3: Cross multiply
    7,199.25x = 9,933.51 × 4,214.49
  4. Step 4: Simplify right side
    7,199.25x = 41,864,678.56
  5. Step 5: Solve for x
    x = 41,864,678.56/7,199.25
  6. Step 6: Final answer
    x = 5,815.14

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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.