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Finding the Fourth Proportional to 7,589.76, 11,372.16 and 7,301.76

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Solution

The fourth proportional to 7,589.76, 11,372.16 and 7,301.76 is: 10,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.76 : 11,372.16 = 7,301.76 : x
  2. Step 2: Convert to fraction form
    7,589.76/11,372.16 = 7,301.76/x
  3. Step 3: Cross multiply
    7,589.76x = 11,372.16 × 7,301.76
  4. Step 4: Simplify right side
    7,589.76x = 83,036,783.00
  5. Step 5: Solve for x
    x = 83,036,783.00/7,589.76
  6. Step 6: Final answer
    x = 10,940.63

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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.