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Finding the Fourth Proportional to 7,556, 11,334.64 and 2,084

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Solution

The fourth proportional to 7,556, 11,334.64 and 2,084 is: 3,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556 : 11,334.64 = 2,084 : x
  2. Step 2: Convert to fraction form
    7,556/11,334.64 = 2,084/x
  3. Step 3: Cross multiply
    7,556x = 11,334.64 × 2,084
  4. Step 4: Simplify right side
    7,556x = 23,621,389.76
  5. Step 5: Solve for x
    x = 23,621,389.76/7,556
  6. Step 6: Final answer
    x = 3,126.18

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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.