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Finding the Fourth Proportional to 12,048.25, 16,636.85 and 7,579.48

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Solution

The fourth proportional to 12,048.25, 16,636.85 and 7,579.48 is: 10,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.25 : 16,636.85 = 7,579.48 : x
  2. Step 2: Convert to fraction form
    12,048.25/16,636.85 = 7,579.48/x
  3. Step 3: Cross multiply
    12,048.25x = 16,636.85 × 7,579.48
  4. Step 4: Simplify right side
    12,048.25x = 126,098,633.94
  5. Step 5: Solve for x
    x = 126,098,633.94/12,048.25
  6. Step 6: Final answer
    x = 10,466.14

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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.