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Finding the Fourth Proportional to 5,964.80, 8,947.20 and 5,235.20

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Solution

The fourth proportional to 5,964.80, 8,947.20 and 5,235.20 is: 7,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.80 : 8,947.20 = 5,235.20 : x
  2. Step 2: Convert to fraction form
    5,964.80/8,947.20 = 5,235.20/x
  3. Step 3: Cross multiply
    5,964.80x = 8,947.20 × 5,235.20
  4. Step 4: Simplify right side
    5,964.80x = 46,840,381.44
  5. Step 5: Solve for x
    x = 46,840,381.44/5,964.80
  6. Step 6: Final answer
    x = 7,852.80

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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.