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Finding the Fourth Proportional to 10,725.39, 14,801.01 and 6,533.64

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Solution

The fourth proportional to 10,725.39, 14,801.01 and 6,533.64 is: 9,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.39 : 14,801.01 = 6,533.64 : x
  2. Step 2: Convert to fraction form
    10,725.39/14,801.01 = 6,533.64/x
  3. Step 3: Cross multiply
    10,725.39x = 14,801.01 × 6,533.64
  4. Step 4: Simplify right side
    10,725.39x = 96,704,396.97
  5. Step 5: Solve for x
    x = 96,704,396.97/10,725.39
  6. Step 6: Final answer
    x = 9,016.40

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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.