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Finding the Fourth Proportional to 7,200.25, 9,936.86 and 4,056.44

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Solution

The fourth proportional to 7,200.25, 9,936.86 and 4,056.44 is: 5,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.25 : 9,936.86 = 4,056.44 : x
  2. Step 2: Convert to fraction form
    7,200.25/9,936.86 = 4,056.44/x
  3. Step 3: Cross multiply
    7,200.25x = 9,936.86 × 4,056.44
  4. Step 4: Simplify right side
    7,200.25x = 40,308,231.25
  5. Step 5: Solve for x
    x = 40,308,231.25/7,200.25
  6. Step 6: Final answer
    x = 5,598.17

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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.