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Finding the Fourth Proportional to 5,966.64, 8,232.30 and 3,730.80

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Solution

The fourth proportional to 5,966.64, 8,232.30 and 3,730.80 is: 5,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.64 : 8,232.30 = 3,730.80 : x
  2. Step 2: Convert to fraction form
    5,966.64/8,232.30 = 3,730.80/x
  3. Step 3: Cross multiply
    5,966.64x = 8,232.30 × 3,730.80
  4. Step 4: Simplify right side
    5,966.64x = 30,713,064.84
  5. Step 5: Solve for x
    x = 30,713,064.84/5,966.64
  6. Step 6: Final answer
    x = 5,147.46

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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.