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Finding the Fourth Proportional to 4,975.84, 7,462.84 and 3,510.48

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Solution

The fourth proportional to 4,975.84, 7,462.84 and 3,510.48 is: 5,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.84 : 7,462.84 = 3,510.48 : x
  2. Step 2: Convert to fraction form
    4,975.84/7,462.84 = 3,510.48/x
  3. Step 3: Cross multiply
    4,975.84x = 7,462.84 × 3,510.48
  4. Step 4: Simplify right side
    4,975.84x = 26,198,150.56
  5. Step 5: Solve for x
    x = 26,198,150.56/4,975.84
  6. Step 6: Final answer
    x = 5,265.07

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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.