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Finding the Fourth Proportional to 10,630.44, 14,668.56 and 5,914.08

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Solution

The fourth proportional to 10,630.44, 14,668.56 and 5,914.08 is: 8,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.44 : 14,668.56 = 5,914.08 : x
  2. Step 2: Convert to fraction form
    10,630.44/14,668.56 = 5,914.08/x
  3. Step 3: Cross multiply
    10,630.44x = 14,668.56 × 5,914.08
  4. Step 4: Simplify right side
    10,630.44x = 86,751,037.32
  5. Step 5: Solve for x
    x = 86,751,037.32/10,630.44
  6. Step 6: Final answer
    x = 8,160.63

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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.