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Finding the Fourth Proportional to 6,154.94, 9,234 and 1,772.74

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Solution

The fourth proportional to 6,154.94, 9,234 and 1,772.74 is: 2,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.94 : 9,234 = 1,772.74 : x
  2. Step 2: Convert to fraction form
    6,154.94/9,234 = 1,772.74/x
  3. Step 3: Cross multiply
    6,154.94x = 9,234 × 1,772.74
  4. Step 4: Simplify right side
    6,154.94x = 16,369,492.70
  5. Step 5: Solve for x
    x = 16,369,492.70/6,154.94
  6. Step 6: Final answer
    x = 2,659.57

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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.