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Finding the Fourth Proportional to 6,358.40, 9,539.60 and 3,071.60

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Solution

The fourth proportional to 6,358.40, 9,539.60 and 3,071.60 is: 4,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.40 : 9,539.60 = 3,071.60 : x
  2. Step 2: Convert to fraction form
    6,358.40/9,539.60 = 3,071.60/x
  3. Step 3: Cross multiply
    6,358.40x = 9,539.60 × 3,071.60
  4. Step 4: Simplify right side
    6,358.40x = 29,301,835.36
  5. Step 5: Solve for x
    x = 29,301,835.36/6,358.40
  6. Step 6: Final answer
    x = 4,608.37

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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.