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Finding the Fourth Proportional to 5,673.97, 8,509.65 and 2,164.38

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Solution

The fourth proportional to 5,673.97, 8,509.65 and 2,164.38 is: 3,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.97 : 8,509.65 = 2,164.38 : x
  2. Step 2: Convert to fraction form
    5,673.97/8,509.65 = 2,164.38/x
  3. Step 3: Cross multiply
    5,673.97x = 8,509.65 × 2,164.38
  4. Step 4: Simplify right side
    5,673.97x = 18,418,116.27
  5. Step 5: Solve for x
    x = 18,418,116.27/5,673.97
  6. Step 6: Final answer
    x = 3,246.07

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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.