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Finding the Fourth Proportional to 6,789, 10,189.01 and 3,503.04

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Solution

The fourth proportional to 6,789, 10,189.01 and 3,503.04 is: 5,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789 : 10,189.01 = 3,503.04 : x
  2. Step 2: Convert to fraction form
    6,789/10,189.01 = 3,503.04/x
  3. Step 3: Cross multiply
    6,789x = 10,189.01 × 3,503.04
  4. Step 4: Simplify right side
    6,789x = 35,692,509.59
  5. Step 5: Solve for x
    x = 35,692,509.59/6,789
  6. Step 6: Final answer
    x = 5,257.40

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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.