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Finding the Fourth Proportional to 9,141.75, 12,615.66 and 4,950

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Solution

The fourth proportional to 9,141.75, 12,615.66 and 4,950 is: 6,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.75 : 12,615.66 = 4,950 : x
  2. Step 2: Convert to fraction form
    9,141.75/12,615.66 = 4,950/x
  3. Step 3: Cross multiply
    9,141.75x = 12,615.66 × 4,950
  4. Step 4: Simplify right side
    9,141.75x = 62,447,517
  5. Step 5: Solve for x
    x = 62,447,517/9,141.75
  6. Step 6: Final answer
    x = 6,831.02

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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.