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Finding the Fourth Proportional to 5,966.64, 8,233.64 and 3,314.08

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Solution

The fourth proportional to 5,966.64, 8,233.64 and 3,314.08 is: 4,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.64 : 8,233.64 = 3,314.08 : x
  2. Step 2: Convert to fraction form
    5,966.64/8,233.64 = 3,314.08/x
  3. Step 3: Cross multiply
    5,966.64x = 8,233.64 × 3,314.08
  4. Step 4: Simplify right side
    5,966.64x = 27,286,941.65
  5. Step 5: Solve for x
    x = 27,286,941.65/5,966.64
  6. Step 6: Final answer
    x = 4,573.25

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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.