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Finding the Fourth Proportional to 6,178.64, 9,264.93 and 3,057.63

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Solution

The fourth proportional to 6,178.64, 9,264.93 and 3,057.63 is: 4,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.64 : 9,264.93 = 3,057.63 : x
  2. Step 2: Convert to fraction form
    6,178.64/9,264.93 = 3,057.63/x
  3. Step 3: Cross multiply
    6,178.64x = 9,264.93 × 3,057.63
  4. Step 4: Simplify right side
    6,178.64x = 28,328,727.92
  5. Step 5: Solve for x
    x = 28,328,727.92/6,178.64
  6. Step 6: Final answer
    x = 4,584.95

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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.