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Finding the Fourth Proportional to 6,382.17, 9,573.21 and 1,765.17

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Solution

The fourth proportional to 6,382.17, 9,573.21 and 1,765.17 is: 2,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.17 : 9,573.21 = 1,765.17 : x
  2. Step 2: Convert to fraction form
    6,382.17/9,573.21 = 1,765.17/x
  3. Step 3: Cross multiply
    6,382.17x = 9,573.21 × 1,765.17
  4. Step 4: Simplify right side
    6,382.17x = 16,898,343.10
  5. Step 5: Solve for x
    x = 16,898,343.10/6,382.17
  6. Step 6: Final answer
    x = 2,647.74

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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.