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Finding the Fourth Proportional to 7,384.84, 11,081.82 and 4,271

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Solution

The fourth proportional to 7,384.84, 11,081.82 and 4,271 is: 6,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.84 : 11,081.82 = 4,271 : x
  2. Step 2: Convert to fraction form
    7,384.84/11,081.82 = 4,271/x
  3. Step 3: Cross multiply
    7,384.84x = 11,081.82 × 4,271
  4. Step 4: Simplify right side
    7,384.84x = 47,330,453.22
  5. Step 5: Solve for x
    x = 47,330,453.22/7,384.84
  6. Step 6: Final answer
    x = 6,409.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.