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Finding the Fourth Proportional to 6,980.84, 10,471.25 and 2,053.93

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Solution

The fourth proportional to 6,980.84, 10,471.25 and 2,053.93 is: 3,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.84 : 10,471.25 = 2,053.93 : x
  2. Step 2: Convert to fraction form
    6,980.84/10,471.25 = 2,053.93/x
  3. Step 3: Cross multiply
    6,980.84x = 10,471.25 × 2,053.93
  4. Step 4: Simplify right side
    6,980.84x = 21,507,221.18
  5. Step 5: Solve for x
    x = 21,507,221.18/6,980.84
  6. Step 6: Final answer
    x = 3,080.90

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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.