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Finding the Fourth Proportional to 12,804.61, 17,671.26 and 7,769.07

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Solution

The fourth proportional to 12,804.61, 17,671.26 and 7,769.07 is: 10,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.61 : 17,671.26 = 7,769.07 : x
  2. Step 2: Convert to fraction form
    12,804.61/17,671.26 = 7,769.07/x
  3. Step 3: Cross multiply
    12,804.61x = 17,671.26 × 7,769.07
  4. Step 4: Simplify right side
    12,804.61x = 137,289,255.93
  5. Step 5: Solve for x
    x = 137,289,255.93/12,804.61
  6. Step 6: Final answer
    x = 10,721.86

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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.