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Finding the Fourth Proportional to 7,243.68, 9,995.94 and 4,448.64

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Solution

The fourth proportional to 7,243.68, 9,995.94 and 4,448.64 is: 6,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.68 : 9,995.94 = 4,448.64 : x
  2. Step 2: Convert to fraction form
    7,243.68/9,995.94 = 4,448.64/x
  3. Step 3: Cross multiply
    7,243.68x = 9,995.94 × 4,448.64
  4. Step 4: Simplify right side
    7,243.68x = 44,468,338.52
  5. Step 5: Solve for x
    x = 44,468,338.52/7,243.68
  6. Step 6: Final answer
    x = 6,138.92

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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.