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Finding the Fourth Proportional to 5,967.66, 8,235.66 and 3,314.92

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Solution

The fourth proportional to 5,967.66, 8,235.66 and 3,314.92 is: 4,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.66 : 8,235.66 = 3,314.92 : x
  2. Step 2: Convert to fraction form
    5,967.66/8,235.66 = 3,314.92/x
  3. Step 3: Cross multiply
    5,967.66x = 8,235.66 × 3,314.92
  4. Step 4: Simplify right side
    5,967.66x = 27,300,554.05
  5. Step 5: Solve for x
    x = 27,300,554.05/5,967.66
  6. Step 6: Final answer
    x = 4,574.75

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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.