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Finding the Fourth Proportional to 3,272.02, 4,907.76 and 963.52

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Solution

The fourth proportional to 3,272.02, 4,907.76 and 963.52 is: 1,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.02 : 4,907.76 = 963.52 : x
  2. Step 2: Convert to fraction form
    3,272.02/4,907.76 = 963.52/x
  3. Step 3: Cross multiply
    3,272.02x = 4,907.76 × 963.52
  4. Step 4: Simplify right side
    3,272.02x = 4,728,724.92
  5. Step 5: Solve for x
    x = 4,728,724.92/3,272.02
  6. Step 6: Final answer
    x = 1,445.20

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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.