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Finding the Fourth Proportional to 4,906.84, 7,353.09 and 2,275.15

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Solution

The fourth proportional to 4,906.84, 7,353.09 and 2,275.15 is: 3,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.84 : 7,353.09 = 2,275.15 : x
  2. Step 2: Convert to fraction form
    4,906.84/7,353.09 = 2,275.15/x
  3. Step 3: Cross multiply
    4,906.84x = 7,353.09 × 2,275.15
  4. Step 4: Simplify right side
    4,906.84x = 16,729,382.71
  5. Step 5: Solve for x
    x = 16,729,382.71/4,906.84
  6. Step 6: Final answer
    x = 3,409.40

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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.