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Finding the Fourth Proportional to 9,653.70, 14,480.40 and 3,079.84

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Solution

The fourth proportional to 9,653.70, 14,480.40 and 3,079.84 is: 4,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.70 : 14,480.40 = 3,079.84 : x
  2. Step 2: Convert to fraction form
    9,653.70/14,480.40 = 3,079.84/x
  3. Step 3: Cross multiply
    9,653.70x = 14,480.40 × 3,079.84
  4. Step 4: Simplify right side
    9,653.70x = 44,597,315.14
  5. Step 5: Solve for x
    x = 44,597,315.14/9,653.70
  6. Step 6: Final answer
    x = 4,619.71

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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.