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Finding the Fourth Proportional to 4,768.68, 7,144.86 and 2,914.08

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Solution

The fourth proportional to 4,768.68, 7,144.86 and 2,914.08 is: 4,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.68 : 7,144.86 = 2,914.08 : x
  2. Step 2: Convert to fraction form
    4,768.68/7,144.86 = 2,914.08/x
  3. Step 3: Cross multiply
    4,768.68x = 7,144.86 × 2,914.08
  4. Step 4: Simplify right side
    4,768.68x = 20,820,693.63
  5. Step 5: Solve for x
    x = 20,820,693.63/4,768.68
  6. Step 6: Final answer
    x = 4,366.13

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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.