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Finding the Fourth Proportional to 6,378.88, 9,568.32 and 1,762.24

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Solution

The fourth proportional to 6,378.88, 9,568.32 and 1,762.24 is: 2,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.88 : 9,568.32 = 1,762.24 : x
  2. Step 2: Convert to fraction form
    6,378.88/9,568.32 = 1,762.24/x
  3. Step 3: Cross multiply
    6,378.88x = 9,568.32 × 1,762.24
  4. Step 4: Simplify right side
    6,378.88x = 16,861,676.24
  5. Step 5: Solve for x
    x = 16,861,676.24/6,378.88
  6. Step 6: Final answer
    x = 2,643.36

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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.