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Finding the Fourth Proportional to 4,966.97, 6,854.42 and 2,871.50

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Solution

The fourth proportional to 4,966.97, 6,854.42 and 2,871.50 is: 3,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.97 : 6,854.42 = 2,871.50 : x
  2. Step 2: Convert to fraction form
    4,966.97/6,854.42 = 2,871.50/x
  3. Step 3: Cross multiply
    4,966.97x = 6,854.42 × 2,871.50
  4. Step 4: Simplify right side
    4,966.97x = 19,682,418.40
  5. Step 5: Solve for x
    x = 19,682,418.40/4,966.97
  6. Step 6: Final answer
    x = 3,962.67

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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.