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Finding the Fourth Proportional to 6,977.41, 10,468.01 and 2,047.01

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Solution

The fourth proportional to 6,977.41, 10,468.01 and 2,047.01 is: 3,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.41 : 10,468.01 = 2,047.01 : x
  2. Step 2: Convert to fraction form
    6,977.41/10,468.01 = 2,047.01/x
  3. Step 3: Cross multiply
    6,977.41x = 10,468.01 × 2,047.01
  4. Step 4: Simplify right side
    6,977.41x = 21,428,110.92
  5. Step 5: Solve for x
    x = 21,428,110.92/6,977.41
  6. Step 6: Final answer
    x = 3,071.07

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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.