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Finding the Fourth Proportional to 3,273.16, 4,909.02 and 964.12

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Solution

The fourth proportional to 3,273.16, 4,909.02 and 964.12 is: 1,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.16 : 4,909.02 = 964.12 : x
  2. Step 2: Convert to fraction form
    3,273.16/4,909.02 = 964.12/x
  3. Step 3: Cross multiply
    3,273.16x = 4,909.02 × 964.12
  4. Step 4: Simplify right side
    3,273.16x = 4,732,884.36
  5. Step 5: Solve for x
    x = 4,732,884.36/3,273.16
  6. Step 6: Final answer
    x = 1,445.97

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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.