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Finding the Fourth Proportional to 6,589.96, 9,905.29 and 4,412.68

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Solution

The fourth proportional to 6,589.96, 9,905.29 and 4,412.68 is: 6,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.96 : 9,905.29 = 4,412.68 : x
  2. Step 2: Convert to fraction form
    6,589.96/9,905.29 = 4,412.68/x
  3. Step 3: Cross multiply
    6,589.96x = 9,905.29 × 4,412.68
  4. Step 4: Simplify right side
    6,589.96x = 43,708,839.28
  5. Step 5: Solve for x
    x = 43,708,839.28/6,589.96
  6. Step 6: Final answer
    x = 6,632.64

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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.