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Finding the Fourth Proportional to 4,857.40, 6,700.80 and 4,194.10

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Solution

The fourth proportional to 4,857.40, 6,700.80 and 4,194.10 is: 5,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.40 : 6,700.80 = 4,194.10 : x
  2. Step 2: Convert to fraction form
    4,857.40/6,700.80 = 4,194.10/x
  3. Step 3: Cross multiply
    4,857.40x = 6,700.80 × 4,194.10
  4. Step 4: Simplify right side
    4,857.40x = 28,103,825.28
  5. Step 5: Solve for x
    x = 28,103,825.28/4,857.40
  6. Step 6: Final answer
    x = 5,785.78

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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.