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Finding the Fourth Proportional to 6,358.37, 9,539.81 and 2,848.10

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Solution

The fourth proportional to 6,358.37, 9,539.81 and 2,848.10 is: 4,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.37 : 9,539.81 = 2,848.10 : x
  2. Step 2: Convert to fraction form
    6,358.37/9,539.81 = 2,848.10/x
  3. Step 3: Cross multiply
    6,358.37x = 9,539.81 × 2,848.10
  4. Step 4: Simplify right side
    6,358.37x = 27,170,270.92
  5. Step 5: Solve for x
    x = 27,170,270.92/6,358.37
  6. Step 6: Final answer
    x = 4,273.15

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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.