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Finding the Fourth Proportional to 5,698.25, 7,863.04 and 3,180.16

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Solution

The fourth proportional to 5,698.25, 7,863.04 and 3,180.16 is: 4,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.25 : 7,863.04 = 3,180.16 : x
  2. Step 2: Convert to fraction form
    5,698.25/7,863.04 = 3,180.16/x
  3. Step 3: Cross multiply
    5,698.25x = 7,863.04 × 3,180.16
  4. Step 4: Simplify right side
    5,698.25x = 25,005,725.29
  5. Step 5: Solve for x
    x = 25,005,725.29/5,698.25
  6. Step 6: Final answer
    x = 4,388.32

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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.