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Finding the Fourth Proportional to 7,846.44, 10,829.70 and 4,489.08

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Solution

The fourth proportional to 7,846.44, 10,829.70 and 4,489.08 is: 6,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.44 : 10,829.70 = 4,489.08 : x
  2. Step 2: Convert to fraction form
    7,846.44/10,829.70 = 4,489.08/x
  3. Step 3: Cross multiply
    7,846.44x = 10,829.70 × 4,489.08
  4. Step 4: Simplify right side
    7,846.44x = 48,615,389.68
  5. Step 5: Solve for x
    x = 48,615,389.68/7,846.44
  6. Step 6: Final answer
    x = 6,195.85

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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.