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Finding the Fourth Proportional to 7,451.92, 10,283.08 and 4,306

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Solution

The fourth proportional to 7,451.92, 10,283.08 and 4,306 is: 5,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.92 : 10,283.08 = 4,306 : x
  2. Step 2: Convert to fraction form
    7,451.92/10,283.08 = 4,306/x
  3. Step 3: Cross multiply
    7,451.92x = 10,283.08 × 4,306
  4. Step 4: Simplify right side
    7,451.92x = 44,278,942.48
  5. Step 5: Solve for x
    x = 44,278,942.48/7,451.92
  6. Step 6: Final answer
    x = 5,941.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.