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Finding the Fourth Proportional to 9,658.88, 14,485.44 and 3,084.80

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Solution

The fourth proportional to 9,658.88, 14,485.44 and 3,084.80 is: 4,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.88 : 14,485.44 = 3,084.80 : x
  2. Step 2: Convert to fraction form
    9,658.88/14,485.44 = 3,084.80/x
  3. Step 3: Cross multiply
    9,658.88x = 14,485.44 × 3,084.80
  4. Step 4: Simplify right side
    9,658.88x = 44,684,685.31
  5. Step 5: Solve for x
    x = 44,684,685.31/9,658.88
  6. Step 6: Final answer
    x = 4,626.28

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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.