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Finding the Fourth Proportional to 10,071.96, 13,893.03 and 6,922.68

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Solution

The fourth proportional to 10,071.96, 13,893.03 and 6,922.68 is: 9,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.96 : 13,893.03 = 6,922.68 : x
  2. Step 2: Convert to fraction form
    10,071.96/13,893.03 = 6,922.68/x
  3. Step 3: Cross multiply
    10,071.96x = 13,893.03 × 6,922.68
  4. Step 4: Simplify right side
    10,071.96x = 96,177,000.92
  5. Step 5: Solve for x
    x = 96,177,000.92/10,071.96
  6. Step 6: Final answer
    x = 9,548.99

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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.