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Finding the Fourth Proportional to 4,661.84, 6,991 and 1,374

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Solution

The fourth proportional to 4,661.84, 6,991 and 1,374 is: 2,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.84 : 6,991 = 1,374 : x
  2. Step 2: Convert to fraction form
    4,661.84/6,991 = 1,374/x
  3. Step 3: Cross multiply
    4,661.84x = 6,991 × 1,374
  4. Step 4: Simplify right side
    4,661.84x = 9,605,634
  5. Step 5: Solve for x
    x = 9,605,634/4,661.84
  6. Step 6: Final answer
    x = 2,060.48

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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.