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Finding the Fourth Proportional to 6,378.80, 9,567.12 and 1,760.72

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Solution

The fourth proportional to 6,378.80, 9,567.12 and 1,760.72 is: 2,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.80 : 9,567.12 = 1,760.72 : x
  2. Step 2: Convert to fraction form
    6,378.80/9,567.12 = 1,760.72/x
  3. Step 3: Cross multiply
    6,378.80x = 9,567.12 × 1,760.72
  4. Step 4: Simplify right side
    6,378.80x = 16,845,019.53
  5. Step 5: Solve for x
    x = 16,845,019.53/6,378.80
  6. Step 6: Final answer
    x = 2,640.78

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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.