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Finding the Fourth Proportional to 9,881.66, 13,630.43 and 6,896.41

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Solution

The fourth proportional to 9,881.66, 13,630.43 and 6,896.41 is: 9,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.66 : 13,630.43 = 6,896.41 : x
  2. Step 2: Convert to fraction form
    9,881.66/13,630.43 = 6,896.41/x
  3. Step 3: Cross multiply
    9,881.66x = 13,630.43 × 6,896.41
  4. Step 4: Simplify right side
    9,881.66x = 94,001,016.92
  5. Step 5: Solve for x
    x = 94,001,016.92/9,881.66
  6. Step 6: Final answer
    x = 9,512.67

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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.