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Finding the Fourth Proportional to 7,884.53, 11,797.50 and 4,949.09

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Solution

The fourth proportional to 7,884.53, 11,797.50 and 4,949.09 is: 7,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.53 : 11,797.50 = 4,949.09 : x
  2. Step 2: Convert to fraction form
    7,884.53/11,797.50 = 4,949.09/x
  3. Step 3: Cross multiply
    7,884.53x = 11,797.50 × 4,949.09
  4. Step 4: Simplify right side
    7,884.53x = 58,386,889.28
  5. Step 5: Solve for x
    x = 58,386,889.28/7,884.53
  6. Step 6: Final answer
    x = 7,405.25

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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.