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Finding the Fourth Proportional to 12,791.34, 17,652.08 and 7,414.81

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Solution

The fourth proportional to 12,791.34, 17,652.08 and 7,414.81 is: 10,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.34 : 17,652.08 = 7,414.81 : x
  2. Step 2: Convert to fraction form
    12,791.34/17,652.08 = 7,414.81/x
  3. Step 3: Cross multiply
    12,791.34x = 17,652.08 × 7,414.81
  4. Step 4: Simplify right side
    12,791.34x = 130,886,793.71
  5. Step 5: Solve for x
    x = 130,886,793.71/12,791.34
  6. Step 6: Final answer
    x = 10,232.45

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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.