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Finding the Fourth Proportional to 10,667.84, 16,032 and 6,287.36

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Solution

The fourth proportional to 10,667.84, 16,032 and 6,287.36 is: 9,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.84 : 16,032 = 6,287.36 : x
  2. Step 2: Convert to fraction form
    10,667.84/16,032 = 6,287.36/x
  3. Step 3: Cross multiply
    10,667.84x = 16,032 × 6,287.36
  4. Step 4: Simplify right side
    10,667.84x = 100,798,955.52
  5. Step 5: Solve for x
    x = 100,798,955.52/10,667.84
  6. Step 6: Final answer
    x = 9,448.86

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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.