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Finding the Fourth Proportional to 5,246.57, 7,867.96 and 1,783.01

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Solution

The fourth proportional to 5,246.57, 7,867.96 and 1,783.01 is: 2,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.57 : 7,867.96 = 1,783.01 : x
  2. Step 2: Convert to fraction form
    5,246.57/7,867.96 = 1,783.01/x
  3. Step 3: Cross multiply
    5,246.57x = 7,867.96 × 1,783.01
  4. Step 4: Simplify right side
    5,246.57x = 14,028,651.36
  5. Step 5: Solve for x
    x = 14,028,651.36/5,246.57
  6. Step 6: Final answer
    x = 2,673.87

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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.