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Finding the Fourth Proportional to 9,951.69, 13,724.73 and 7,713.66

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Solution

The fourth proportional to 9,951.69, 13,724.73 and 7,713.66 is: 10,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.69 : 13,724.73 = 7,713.66 : x
  2. Step 2: Convert to fraction form
    9,951.69/13,724.73 = 7,713.66/x
  3. Step 3: Cross multiply
    9,951.69x = 13,724.73 × 7,713.66
  4. Step 4: Simplify right side
    9,951.69x = 105,867,900.81
  5. Step 5: Solve for x
    x = 105,867,900.81/9,951.69
  6. Step 6: Final answer
    x = 10,638.18

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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.