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Finding the Fourth Proportional to 7,752.44, 10,694.22 and 5,390.48

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Solution

The fourth proportional to 7,752.44, 10,694.22 and 5,390.48 is: 7,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.44 : 10,694.22 = 5,390.48 : x
  2. Step 2: Convert to fraction form
    7,752.44/10,694.22 = 5,390.48/x
  3. Step 3: Cross multiply
    7,752.44x = 10,694.22 × 5,390.48
  4. Step 4: Simplify right side
    7,752.44x = 57,646,979.03
  5. Step 5: Solve for x
    x = 57,646,979.03/7,752.44
  6. Step 6: Final answer
    x = 7,435.98

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Half scale
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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.