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Finding the Fourth Proportional to 6,284.56, 8,673 and 3,632.80

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Solution

The fourth proportional to 6,284.56, 8,673 and 3,632.80 is: 5,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.56 : 8,673 = 3,632.80 : x
  2. Step 2: Convert to fraction form
    6,284.56/8,673 = 3,632.80/x
  3. Step 3: Cross multiply
    6,284.56x = 8,673 × 3,632.80
  4. Step 4: Simplify right side
    6,284.56x = 31,507,274.40
  5. Step 5: Solve for x
    x = 31,507,274.40/6,284.56
  6. Step 6: Final answer
    x = 5,013.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.