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Finding the Fourth Proportional to 12,073.63, 16,657.94 and 7,601.84

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Solution

The fourth proportional to 12,073.63, 16,657.94 and 7,601.84 is: 10,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.63 : 16,657.94 = 7,601.84 : x
  2. Step 2: Convert to fraction form
    12,073.63/16,657.94 = 7,601.84/x
  3. Step 3: Cross multiply
    12,073.63x = 16,657.94 × 7,601.84
  4. Step 4: Simplify right side
    12,073.63x = 126,630,956.60
  5. Step 5: Solve for x
    x = 126,630,956.60/12,073.63
  6. Step 6: Final answer
    x = 10,488.23

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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.