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Finding the Fourth Proportional to 12,652.13, 17,466.92 and 7,617.58

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Solution

The fourth proportional to 12,652.13, 17,466.92 and 7,617.58 is: 10,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.13 : 17,466.92 = 7,617.58 : x
  2. Step 2: Convert to fraction form
    12,652.13/17,466.92 = 7,617.58/x
  3. Step 3: Cross multiply
    12,652.13x = 17,466.92 × 7,617.58
  4. Step 4: Simplify right side
    12,652.13x = 133,055,660.45
  5. Step 5: Solve for x
    x = 133,055,660.45/12,652.13
  6. Step 6: Final answer
    x = 10,516.46

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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.