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Finding the Fourth Proportional to 9,278.82, 13,901.99 and 7,728.75

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Solution

The fourth proportional to 9,278.82, 13,901.99 and 7,728.75 is: 11,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.82 : 13,901.99 = 7,728.75 : x
  2. Step 2: Convert to fraction form
    9,278.82/13,901.99 = 7,728.75/x
  3. Step 3: Cross multiply
    9,278.82x = 13,901.99 × 7,728.75
  4. Step 4: Simplify right side
    9,278.82x = 107,444,966.57
  5. Step 5: Solve for x
    x = 107,444,966.57/9,278.82
  6. Step 6: Final answer
    x = 11,579.59

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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.