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Finding the Fourth Proportional to 7,718.56, 11,593.23 and 7,283.37

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Solution

The fourth proportional to 7,718.56, 11,593.23 and 7,283.37 is: 10,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.56 : 11,593.23 = 7,283.37 : x
  2. Step 2: Convert to fraction form
    7,718.56/11,593.23 = 7,283.37/x
  3. Step 3: Cross multiply
    7,718.56x = 11,593.23 × 7,283.37
  4. Step 4: Simplify right side
    7,718.56x = 84,437,783.59
  5. Step 5: Solve for x
    x = 84,437,783.59/7,718.56
  6. Step 6: Final answer
    x = 10,939.58

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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.