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Finding the Fourth Proportional to 7,971.80, 11,945.04 and 6,733.40

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Solution

The fourth proportional to 7,971.80, 11,945.04 and 6,733.40 is: 10,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.80 : 11,945.04 = 6,733.40 : x
  2. Step 2: Convert to fraction form
    7,971.80/11,945.04 = 6,733.40/x
  3. Step 3: Cross multiply
    7,971.80x = 11,945.04 × 6,733.40
  4. Step 4: Simplify right side
    7,971.80x = 80,430,732.34
  5. Step 5: Solve for x
    x = 80,430,732.34/7,971.80
  6. Step 6: Final answer
    x = 10,089.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.