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Finding the Fourth Proportional to 7,754.40, 11,627.28 and 6,832.08

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Solution

The fourth proportional to 7,754.40, 11,627.28 and 6,832.08 is: 10,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.40 : 11,627.28 = 6,832.08 : x
  2. Step 2: Convert to fraction form
    7,754.40/11,627.28 = 6,832.08/x
  3. Step 3: Cross multiply
    7,754.40x = 11,627.28 × 6,832.08
  4. Step 4: Simplify right side
    7,754.40x = 79,438,507.14
  5. Step 5: Solve for x
    x = 79,438,507.14/7,754.40
  6. Step 6: Final answer
    x = 10,244.31

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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.