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Finding the Fourth Proportional to 6,184.62, 9,276.80 and 1,504.65

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Solution

The fourth proportional to 6,184.62, 9,276.80 and 1,504.65 is: 2,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.62 : 9,276.80 = 1,504.65 : x
  2. Step 2: Convert to fraction form
    6,184.62/9,276.80 = 1,504.65/x
  3. Step 3: Cross multiply
    6,184.62x = 9,276.80 × 1,504.65
  4. Step 4: Simplify right side
    6,184.62x = 13,958,351.78
  5. Step 5: Solve for x
    x = 13,958,351.78/6,184.62
  6. Step 6: Final answer
    x = 2,256.95

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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.