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Finding the Fourth Proportional to 5,232.63, 7,847.73 and 1,947.27

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Solution

The fourth proportional to 5,232.63, 7,847.73 and 1,947.27 is: 2,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.63 : 7,847.73 = 1,947.27 : x
  2. Step 2: Convert to fraction form
    5,232.63/7,847.73 = 1,947.27/x
  3. Step 3: Cross multiply
    5,232.63x = 7,847.73 × 1,947.27
  4. Step 4: Simplify right side
    5,232.63x = 15,281,649.20
  5. Step 5: Solve for x
    x = 15,281,649.20/5,232.63
  6. Step 6: Final answer
    x = 2,920.45

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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.