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Finding the Fourth Proportional to 8,378.46, 12,568.10 and 5,610.69

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Solution

The fourth proportional to 8,378.46, 12,568.10 and 5,610.69 is: 8,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.46 : 12,568.10 = 5,610.69 : x
  2. Step 2: Convert to fraction form
    8,378.46/12,568.10 = 5,610.69/x
  3. Step 3: Cross multiply
    8,378.46x = 12,568.10 × 5,610.69
  4. Step 4: Simplify right side
    8,378.46x = 70,515,684.94
  5. Step 5: Solve for x
    x = 70,515,684.94/8,378.46
  6. Step 6: Final answer
    x = 8,416.31

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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.