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Finding the Fourth Proportional to 6,382.36, 9,573.18 and 1,765

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Solution

The fourth proportional to 6,382.36, 9,573.18 and 1,765 is: 2,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.36 : 9,573.18 = 1,765 : x
  2. Step 2: Convert to fraction form
    6,382.36/9,573.18 = 1,765/x
  3. Step 3: Cross multiply
    6,382.36x = 9,573.18 × 1,765
  4. Step 4: Simplify right side
    6,382.36x = 16,896,662.70
  5. Step 5: Solve for x
    x = 16,896,662.70/6,382.36
  6. Step 6: Final answer
    x = 2,647.40

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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.