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Finding the Fourth Proportional to 3,282.38, 4,924.37 and 973.88

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Solution

The fourth proportional to 3,282.38, 4,924.37 and 973.88 is: 1,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.38 : 4,924.37 = 973.88 : x
  2. Step 2: Convert to fraction form
    3,282.38/4,924.37 = 973.88/x
  3. Step 3: Cross multiply
    3,282.38x = 4,924.37 × 973.88
  4. Step 4: Simplify right side
    3,282.38x = 4,795,723.27
  5. Step 5: Solve for x
    x = 4,795,723.27/3,282.38
  6. Step 6: Final answer
    x = 1,461.05

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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.