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Finding the Fourth Proportional to 6,435.14, 9,652.80 and 2,539.50

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Solution

The fourth proportional to 6,435.14, 9,652.80 and 2,539.50 is: 3,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.14 : 9,652.80 = 2,539.50 : x
  2. Step 2: Convert to fraction form
    6,435.14/9,652.80 = 2,539.50/x
  3. Step 3: Cross multiply
    6,435.14x = 9,652.80 × 2,539.50
  4. Step 4: Simplify right side
    6,435.14x = 24,513,285.60
  5. Step 5: Solve for x
    x = 24,513,285.60/6,435.14
  6. Step 6: Final answer
    x = 3,809.29

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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.