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Finding the Fourth Proportional to 6,472.58, 9,709.07 and 2,090.07

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Solution

The fourth proportional to 6,472.58, 9,709.07 and 2,090.07 is: 3,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.58 : 9,709.07 = 2,090.07 : x
  2. Step 2: Convert to fraction form
    6,472.58/9,709.07 = 2,090.07/x
  3. Step 3: Cross multiply
    6,472.58x = 9,709.07 × 2,090.07
  4. Step 4: Simplify right side
    6,472.58x = 20,292,625.48
  5. Step 5: Solve for x
    x = 20,292,625.48/6,472.58
  6. Step 6: Final answer
    x = 3,135.17

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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.