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Finding the Fourth Proportional to 4,614.28, 6,927.90 and 2,364.42

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Solution

The fourth proportional to 4,614.28, 6,927.90 and 2,364.42 is: 3,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.28 : 6,927.90 = 2,364.42 : x
  2. Step 2: Convert to fraction form
    4,614.28/6,927.90 = 2,364.42/x
  3. Step 3: Cross multiply
    4,614.28x = 6,927.90 × 2,364.42
  4. Step 4: Simplify right side
    4,614.28x = 16,380,465.32
  5. Step 5: Solve for x
    x = 16,380,465.32/4,614.28
  6. Step 6: Final answer
    x = 3,549.95

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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.