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Finding the Fourth Proportional to 6,356.84, 9,536.66 and 1,974.74

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Solution

The fourth proportional to 6,356.84, 9,536.66 and 1,974.74 is: 2,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.84 : 9,536.66 = 1,974.74 : x
  2. Step 2: Convert to fraction form
    6,356.84/9,536.66 = 1,974.74/x
  3. Step 3: Cross multiply
    6,356.84x = 9,536.66 × 1,974.74
  4. Step 4: Simplify right side
    6,356.84x = 18,832,423.97
  5. Step 5: Solve for x
    x = 18,832,423.97/6,356.84
  6. Step 6: Final answer
    x = 2,962.54

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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.