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Finding the Fourth Proportional to 10,794.33, 14,896.16 and 6,078.64

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Solution

The fourth proportional to 10,794.33, 14,896.16 and 6,078.64 is: 8,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.33 : 14,896.16 = 6,078.64 : x
  2. Step 2: Convert to fraction form
    10,794.33/14,896.16 = 6,078.64/x
  3. Step 3: Cross multiply
    10,794.33x = 14,896.16 × 6,078.64
  4. Step 4: Simplify right side
    10,794.33x = 90,548,363.63
  5. Step 5: Solve for x
    x = 90,548,363.63/10,794.33
  6. Step 6: Final answer
    x = 8,388.52

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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.