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Finding the Fourth Proportional to 6,904.92, 9,533.70 and 4,253.16

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Solution

The fourth proportional to 6,904.92, 9,533.70 and 4,253.16 is: 5,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.92 : 9,533.70 = 4,253.16 : x
  2. Step 2: Convert to fraction form
    6,904.92/9,533.70 = 4,253.16/x
  3. Step 3: Cross multiply
    6,904.92x = 9,533.70 × 4,253.16
  4. Step 4: Simplify right side
    6,904.92x = 40,548,351.49
  5. Step 5: Solve for x
    x = 40,548,351.49/6,904.92
  6. Step 6: Final answer
    x = 5,872.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.