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Finding the Fourth Proportional to 6,322.86, 9,476.90 and 4,757.84

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Solution

The fourth proportional to 6,322.86, 9,476.90 and 4,757.84 is: 7,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.86 : 9,476.90 = 4,757.84 : x
  2. Step 2: Convert to fraction form
    6,322.86/9,476.90 = 4,757.84/x
  3. Step 3: Cross multiply
    6,322.86x = 9,476.90 × 4,757.84
  4. Step 4: Simplify right side
    6,322.86x = 45,089,573.90
  5. Step 5: Solve for x
    x = 45,089,573.90/6,322.86
  6. Step 6: Final answer
    x = 7,131.20

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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.