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Finding the Fourth Proportional to 7,945.41, 11,014.90 and 7,524.11

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Solution

The fourth proportional to 7,945.41, 11,014.90 and 7,524.11 is: 10,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.41 : 11,014.90 = 7,524.11 : x
  2. Step 2: Convert to fraction form
    7,945.41/11,014.90 = 7,524.11/x
  3. Step 3: Cross multiply
    7,945.41x = 11,014.90 × 7,524.11
  4. Step 4: Simplify right side
    7,945.41x = 82,877,327.97
  5. Step 5: Solve for x
    x = 82,877,327.97/7,945.41
  6. Step 6: Final answer
    x = 10,430.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.