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Finding the Fourth Proportional to 12,325.76, 17,009.52 and 6,736.80

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Solution

The fourth proportional to 12,325.76, 17,009.52 and 6,736.80 is: 9,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.76 : 17,009.52 = 6,736.80 : x
  2. Step 2: Convert to fraction form
    12,325.76/17,009.52 = 6,736.80/x
  3. Step 3: Cross multiply
    12,325.76x = 17,009.52 × 6,736.80
  4. Step 4: Simplify right side
    12,325.76x = 114,589,734.34
  5. Step 5: Solve for x
    x = 114,589,734.34/12,325.76
  6. Step 6: Final answer
    x = 9,296.77

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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.