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Finding the Fourth Proportional to 6,184.94, 9,275.22 and 2,674.80

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Solution

The fourth proportional to 6,184.94, 9,275.22 and 2,674.80 is: 4,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.94 : 9,275.22 = 2,674.80 : x
  2. Step 2: Convert to fraction form
    6,184.94/9,275.22 = 2,674.80/x
  3. Step 3: Cross multiply
    6,184.94x = 9,275.22 × 2,674.80
  4. Step 4: Simplify right side
    6,184.94x = 24,809,358.46
  5. Step 5: Solve for x
    x = 24,809,358.46/6,184.94
  6. Step 6: Final answer
    x = 4,011.26

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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.