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Finding the Fourth Proportional to 4,903.84, 6,767.25 and 2,914.48

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Solution

The fourth proportional to 4,903.84, 6,767.25 and 2,914.48 is: 4,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.84 : 6,767.25 = 2,914.48 : x
  2. Step 2: Convert to fraction form
    4,903.84/6,767.25 = 2,914.48/x
  3. Step 3: Cross multiply
    4,903.84x = 6,767.25 × 2,914.48
  4. Step 4: Simplify right side
    4,903.84x = 19,723,012.31
  5. Step 5: Solve for x
    x = 19,723,012.31/4,903.84
  6. Step 6: Final answer
    x = 4,021.95

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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.