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Finding the Fourth Proportional to 3,428.53, 5,143.07 and 963.55

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Solution

The fourth proportional to 3,428.53, 5,143.07 and 963.55 is: 1,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.53 : 5,143.07 = 963.55 : x
  2. Step 2: Convert to fraction form
    3,428.53/5,143.07 = 963.55/x
  3. Step 3: Cross multiply
    3,428.53x = 5,143.07 × 963.55
  4. Step 4: Simplify right side
    3,428.53x = 4,955,605.10
  5. Step 5: Solve for x
    x = 4,955,605.10/3,428.53
  6. Step 6: Final answer
    x = 1,445.40

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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.