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Finding the Fourth Proportional to 6,273.50, 9,441.76 and 4,721.54

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Solution

The fourth proportional to 6,273.50, 9,441.76 and 4,721.54 is: 7,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.50 : 9,441.76 = 4,721.54 : x
  2. Step 2: Convert to fraction form
    6,273.50/9,441.76 = 4,721.54/x
  3. Step 3: Cross multiply
    6,273.50x = 9,441.76 × 4,721.54
  4. Step 4: Simplify right side
    6,273.50x = 44,579,647.51
  5. Step 5: Solve for x
    x = 44,579,647.51/6,273.50
  6. Step 6: Final answer
    x = 7,106.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.