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Finding the Fourth Proportional to 4,975.76, 6,866.24 and 2,851.27

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Solution

The fourth proportional to 4,975.76, 6,866.24 and 2,851.27 is: 3,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.76 : 6,866.24 = 2,851.27 : x
  2. Step 2: Convert to fraction form
    4,975.76/6,866.24 = 2,851.27/x
  3. Step 3: Cross multiply
    4,975.76x = 6,866.24 × 2,851.27
  4. Step 4: Simplify right side
    4,975.76x = 19,577,472.70
  5. Step 5: Solve for x
    x = 19,577,472.70/4,975.76
  6. Step 6: Final answer
    x = 3,934.57

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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.