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Finding the Fourth Proportional to 7,936.64, 10,940.64 and 5,278.40

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Solution

The fourth proportional to 7,936.64, 10,940.64 and 5,278.40 is: 7,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.64 : 10,940.64 = 5,278.40 : x
  2. Step 2: Convert to fraction form
    7,936.64/10,940.64 = 5,278.40/x
  3. Step 3: Cross multiply
    7,936.64x = 10,940.64 × 5,278.40
  4. Step 4: Simplify right side
    7,936.64x = 57,749,074.18
  5. Step 5: Solve for x
    x = 57,749,074.18/7,936.64
  6. Step 6: Final answer
    x = 7,276.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.