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Finding the Fourth Proportional to 6,849.28, 9,448.64 and 4,053.44

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Solution

The fourth proportional to 6,849.28, 9,448.64 and 4,053.44 is: 5,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.28 : 9,448.64 = 4,053.44 : x
  2. Step 2: Convert to fraction form
    6,849.28/9,448.64 = 4,053.44/x
  3. Step 3: Cross multiply
    6,849.28x = 9,448.64 × 4,053.44
  4. Step 4: Simplify right side
    6,849.28x = 38,299,495.32
  5. Step 5: Solve for x
    x = 38,299,495.32/6,849.28
  6. Step 6: Final answer
    x = 5,591.75

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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.