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Finding the Fourth Proportional to 12,048.61, 16,627.09 and 6,743.43

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Solution

The fourth proportional to 12,048.61, 16,627.09 and 6,743.43 is: 9,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.61 : 16,627.09 = 6,743.43 : x
  2. Step 2: Convert to fraction form
    12,048.61/16,627.09 = 6,743.43/x
  3. Step 3: Cross multiply
    12,048.61x = 16,627.09 × 6,743.43
  4. Step 4: Simplify right side
    12,048.61x = 112,123,590.70
  5. Step 5: Solve for x
    x = 112,123,590.70/12,048.61
  6. Step 6: Final answer
    x = 9,305.93

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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.