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Finding the Fourth Proportional to 5,713.25, 8,570.06 and 1,964.99

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Solution

The fourth proportional to 5,713.25, 8,570.06 and 1,964.99 is: 2,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.25 : 8,570.06 = 1,964.99 : x
  2. Step 2: Convert to fraction form
    5,713.25/8,570.06 = 1,964.99/x
  3. Step 3: Cross multiply
    5,713.25x = 8,570.06 × 1,964.99
  4. Step 4: Simplify right side
    5,713.25x = 16,840,110.84
  5. Step 5: Solve for x
    x = 16,840,110.84/5,713.25
  6. Step 6: Final answer
    x = 2,947.55

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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.