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Finding the Fourth Proportional to 6,358.72, 9,533.28 and 4,168

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Solution

The fourth proportional to 6,358.72, 9,533.28 and 4,168 is: 6,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.72 : 9,533.28 = 4,168 : x
  2. Step 2: Convert to fraction form
    6,358.72/9,533.28 = 4,168/x
  3. Step 3: Cross multiply
    6,358.72x = 9,533.28 × 4,168
  4. Step 4: Simplify right side
    6,358.72x = 39,734,711.04
  5. Step 5: Solve for x
    x = 39,734,711.04/6,358.72
  6. Step 6: Final answer
    x = 6,248.85

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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.