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Finding the Fourth Proportional to 10,678, 14,735.65 and 5,962.28

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Solution

The fourth proportional to 10,678, 14,735.65 and 5,962.28 is: 8,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678 : 14,735.65 = 5,962.28 : x
  2. Step 2: Convert to fraction form
    10,678/14,735.65 = 5,962.28/x
  3. Step 3: Cross multiply
    10,678x = 14,735.65 × 5,962.28
  4. Step 4: Simplify right side
    10,678x = 87,858,071.28
  5. Step 5: Solve for x
    x = 87,858,071.28/10,678
  6. Step 6: Final answer
    x = 8,227.95

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1.5x scale

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.