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Finding the Fourth Proportional to 14,260.74, 21,382 and 6,850.46

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Solution

The fourth proportional to 14,260.74, 21,382 and 6,850.46 is: 10,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.74 : 21,382 = 6,850.46 : x
  2. Step 2: Convert to fraction form
    14,260.74/21,382 = 6,850.46/x
  3. Step 3: Cross multiply
    14,260.74x = 21,382 × 6,850.46
  4. Step 4: Simplify right side
    14,260.74x = 146,476,482.27
  5. Step 5: Solve for x
    x = 146,476,482.27/14,260.74
  6. Step 6: Final answer
    x = 10,271.31

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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.