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Finding the Fourth Proportional to 9,153.78, 13,730.70 and 2,997.78

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Solution

The fourth proportional to 9,153.78, 13,730.70 and 2,997.78 is: 4,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.78 : 13,730.70 = 2,997.78 : x
  2. Step 2: Convert to fraction form
    9,153.78/13,730.70 = 2,997.78/x
  3. Step 3: Cross multiply
    9,153.78x = 13,730.70 × 2,997.78
  4. Step 4: Simplify right side
    9,153.78x = 41,161,617.85
  5. Step 5: Solve for x
    x = 41,161,617.85/9,153.78
  6. Step 6: Final answer
    x = 4,496.68

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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.