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Finding the Fourth Proportional to 4,274.52, 6,402.06 and 4,073.64

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Solution

The fourth proportional to 4,274.52, 6,402.06 and 4,073.64 is: 6,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.52 : 6,402.06 = 4,073.64 : x
  2. Step 2: Convert to fraction form
    4,274.52/6,402.06 = 4,073.64/x
  3. Step 3: Cross multiply
    4,274.52x = 6,402.06 × 4,073.64
  4. Step 4: Simplify right side
    4,274.52x = 26,079,687.70
  5. Step 5: Solve for x
    x = 26,079,687.70/4,274.52
  6. Step 6: Final answer
    x = 6,101.20

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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.