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Finding the Fourth Proportional to 5,674.82, 7,824.80 and 3,995.69

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Solution

The fourth proportional to 5,674.82, 7,824.80 and 3,995.69 is: 5,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.82 : 7,824.80 = 3,995.69 : x
  2. Step 2: Convert to fraction form
    5,674.82/7,824.80 = 3,995.69/x
  3. Step 3: Cross multiply
    5,674.82x = 7,824.80 × 3,995.69
  4. Step 4: Simplify right side
    5,674.82x = 31,265,455.13
  5. Step 5: Solve for x
    x = 31,265,455.13/5,674.82
  6. Step 6: Final answer
    x = 5,509.51

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Half scale
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Double 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.