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Finding the Fourth Proportional to 6,485.99, 9,719.26 and 4,641.01

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Solution

The fourth proportional to 6,485.99, 9,719.26 and 4,641.01 is: 6,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.99 : 9,719.26 = 4,641.01 : x
  2. Step 2: Convert to fraction form
    6,485.99/9,719.26 = 4,641.01/x
  3. Step 3: Cross multiply
    6,485.99x = 9,719.26 × 4,641.01
  4. Step 4: Simplify right side
    6,485.99x = 45,107,146.95
  5. Step 5: Solve for x
    x = 45,107,146.95/6,485.99
  6. Step 6: Final answer
    x = 6,954.56

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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.