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Finding the Fourth Proportional to 6,477.01, 9,696.54 and 4,923.21

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Solution

The fourth proportional to 6,477.01, 9,696.54 and 4,923.21 is: 7,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.01 : 9,696.54 = 4,923.21 : x
  2. Step 2: Convert to fraction form
    6,477.01/9,696.54 = 4,923.21/x
  3. Step 3: Cross multiply
    6,477.01x = 9,696.54 × 4,923.21
  4. Step 4: Simplify right side
    6,477.01x = 47,738,034.16
  5. Step 5: Solve for x
    x = 47,738,034.16/6,477.01
  6. Step 6: Final answer
    x = 7,370.38

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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.