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Finding the Fourth Proportional to 6,336.60, 9,504.90 and 3,412.50

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Solution

The fourth proportional to 6,336.60, 9,504.90 and 3,412.50 is: 5,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.60 : 9,504.90 = 3,412.50 : x
  2. Step 2: Convert to fraction form
    6,336.60/9,504.90 = 3,412.50/x
  3. Step 3: Cross multiply
    6,336.60x = 9,504.90 × 3,412.50
  4. Step 4: Simplify right side
    6,336.60x = 32,435,471.25
  5. Step 5: Solve for x
    x = 32,435,471.25/6,336.60
  6. Step 6: Final answer
    x = 5,118.75

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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.