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Finding the Fourth Proportional to 5,634.96, 7,764.12 and 4,060.32

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Solution

The fourth proportional to 5,634.96, 7,764.12 and 4,060.32 is: 5,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.96 : 7,764.12 = 4,060.32 : x
  2. Step 2: Convert to fraction form
    5,634.96/7,764.12 = 4,060.32/x
  3. Step 3: Cross multiply
    5,634.96x = 7,764.12 × 4,060.32
  4. Step 4: Simplify right side
    5,634.96x = 31,524,811.72
  5. Step 5: Solve for x
    x = 31,524,811.72/5,634.96
  6. Step 6: Final answer
    x = 5,594.50

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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.