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Finding the Fourth Proportional to 6,790.77, 9,374.54 and 4,274.10

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Solution

The fourth proportional to 6,790.77, 9,374.54 and 4,274.10 is: 5,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.77 : 9,374.54 = 4,274.10 : x
  2. Step 2: Convert to fraction form
    6,790.77/9,374.54 = 4,274.10/x
  3. Step 3: Cross multiply
    6,790.77x = 9,374.54 × 4,274.10
  4. Step 4: Simplify right side
    6,790.77x = 40,067,700.04
  5. Step 5: Solve for x
    x = 40,067,700.04/6,790.77
  6. Step 6: Final answer
    x = 5,900.32

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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.