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Finding the Fourth Proportional to 9,653.80, 14,480.97 and 3,412.93

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Solution

The fourth proportional to 9,653.80, 14,480.97 and 3,412.93 is: 5,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.80 : 14,480.97 = 3,412.93 : x
  2. Step 2: Convert to fraction form
    9,653.80/14,480.97 = 3,412.93/x
  3. Step 3: Cross multiply
    9,653.80x = 14,480.97 × 3,412.93
  4. Step 4: Simplify right side
    9,653.80x = 49,422,536.94
  5. Step 5: Solve for x
    x = 49,422,536.94/9,653.80
  6. Step 6: Final answer
    x = 5,119.49

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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.