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Finding the Fourth Proportional to 5,964.76, 8,231 and 3,312.16

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Solution

The fourth proportional to 5,964.76, 8,231 and 3,312.16 is: 4,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.76 : 8,231 = 3,312.16 : x
  2. Step 2: Convert to fraction form
    5,964.76/8,231 = 3,312.16/x
  3. Step 3: Cross multiply
    5,964.76x = 8,231 × 3,312.16
  4. Step 4: Simplify right side
    5,964.76x = 27,262,388.96
  5. Step 5: Solve for x
    x = 27,262,388.96/5,964.76
  6. Step 6: Final answer
    x = 4,570.58

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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.