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Finding the Fourth Proportional to 7,713.78, 10,634.64 and 6,028.56

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Solution

The fourth proportional to 7,713.78, 10,634.64 and 6,028.56 is: 8,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.78 : 10,634.64 = 6,028.56 : x
  2. Step 2: Convert to fraction form
    7,713.78/10,634.64 = 6,028.56/x
  3. Step 3: Cross multiply
    7,713.78x = 10,634.64 × 6,028.56
  4. Step 4: Simplify right side
    7,713.78x = 64,111,565.32
  5. Step 5: Solve for x
    x = 64,111,565.32/7,713.78
  6. Step 6: Final answer
    x = 8,311.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.