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Finding the Fourth Proportional to 6,358.04, 9,533.50 and 2,195.72

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Solution

The fourth proportional to 6,358.04, 9,533.50 and 2,195.72 is: 3,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.04 : 9,533.50 = 2,195.72 : x
  2. Step 2: Convert to fraction form
    6,358.04/9,533.50 = 2,195.72/x
  3. Step 3: Cross multiply
    6,358.04x = 9,533.50 × 2,195.72
  4. Step 4: Simplify right side
    6,358.04x = 20,932,896.62
  5. Step 5: Solve for x
    x = 20,932,896.62/6,358.04
  6. Step 6: Final answer
    x = 3,292.35

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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.