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Finding the Fourth Proportional to 9,160, 12,640.60 and 6,016

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Solution

The fourth proportional to 9,160, 12,640.60 and 6,016 is: 8,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160 : 12,640.60 = 6,016 : x
  2. Step 2: Convert to fraction form
    9,160/12,640.60 = 6,016/x
  3. Step 3: Cross multiply
    9,160x = 12,640.60 × 6,016
  4. Step 4: Simplify right side
    9,160x = 76,045,849.60
  5. Step 5: Solve for x
    x = 76,045,849.60/9,160
  6. Step 6: Final answer
    x = 8,301.95

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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.