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Finding the Fourth Proportional to 6,283.52, 9,422.76 and 2,771.03

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Solution

The fourth proportional to 6,283.52, 9,422.76 and 2,771.03 is: 4,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.52 : 9,422.76 = 2,771.03 : x
  2. Step 2: Convert to fraction form
    6,283.52/9,422.76 = 2,771.03/x
  3. Step 3: Cross multiply
    6,283.52x = 9,422.76 × 2,771.03
  4. Step 4: Simplify right side
    6,283.52x = 26,110,703.53
  5. Step 5: Solve for x
    x = 26,110,703.53/6,283.52
  6. Step 6: Final answer
    x = 4,155.43

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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.