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Finding the Fourth Proportional to 4,747.50, 7,111.94 and 4,477.77

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Solution

The fourth proportional to 4,747.50, 7,111.94 and 4,477.77 is: 6,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.50 : 7,111.94 = 4,477.77 : x
  2. Step 2: Convert to fraction form
    4,747.50/7,111.94 = 4,477.77/x
  3. Step 3: Cross multiply
    4,747.50x = 7,111.94 × 4,477.77
  4. Step 4: Simplify right side
    4,747.50x = 31,845,609.18
  5. Step 5: Solve for x
    x = 31,845,609.18/4,747.50
  6. Step 6: Final answer
    x = 6,707.87

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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.