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Finding the Fourth Proportional to 5,766.12, 8,653.41 and 4,288.68

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Solution

The fourth proportional to 5,766.12, 8,653.41 and 4,288.68 is: 6,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.12 : 8,653.41 = 4,288.68 : x
  2. Step 2: Convert to fraction form
    5,766.12/8,653.41 = 4,288.68/x
  3. Step 3: Cross multiply
    5,766.12x = 8,653.41 × 4,288.68
  4. Step 4: Simplify right side
    5,766.12x = 37,111,706.40
  5. Step 5: Solve for x
    x = 37,111,706.40/5,766.12
  6. Step 6: Final answer
    x = 6,436.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.