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Finding the Fourth Proportional to 12,048.88, 16,628.16 and 6,743.44

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Solution

The fourth proportional to 12,048.88, 16,628.16 and 6,743.44 is: 9,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.88 : 16,628.16 = 6,743.44 : x
  2. Step 2: Convert to fraction form
    12,048.88/16,628.16 = 6,743.44/x
  3. Step 3: Cross multiply
    12,048.88x = 16,628.16 × 6,743.44
  4. Step 4: Simplify right side
    12,048.88x = 112,130,999.27
  5. Step 5: Solve for x
    x = 112,130,999.27/12,048.88
  6. Step 6: Final answer
    x = 9,306.34

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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.