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Finding the Fourth Proportional to 7,548, 11,322 and 2,076

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Solution

The fourth proportional to 7,548, 11,322 and 2,076 is: 3,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548 : 11,322 = 2,076 : x
  2. Step 2: Convert to fraction form
    7,548/11,322 = 2,076/x
  3. Step 3: Cross multiply
    7,548x = 11,322 × 2,076
  4. Step 4: Simplify right side
    7,548x = 23,504,472
  5. Step 5: Solve for x
    x = 23,504,472/7,548
  6. Step 6: Final answer
    x = 3,114

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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.