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Finding the Fourth Proportional to 6,901.58, 10,352.32 and 4,129.02

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Solution

The fourth proportional to 6,901.58, 10,352.32 and 4,129.02 is: 6,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.58 : 10,352.32 = 4,129.02 : x
  2. Step 2: Convert to fraction form
    6,901.58/10,352.32 = 4,129.02/x
  3. Step 3: Cross multiply
    6,901.58x = 10,352.32 × 4,129.02
  4. Step 4: Simplify right side
    6,901.58x = 42,744,936.33
  5. Step 5: Solve for x
    x = 42,744,936.33/6,901.58
  6. Step 6: Final answer
    x = 6,193.50

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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.