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Finding the Fourth Proportional to 9,145.04, 13,723.16 and 3,950.80

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Solution

The fourth proportional to 9,145.04, 13,723.16 and 3,950.80 is: 5,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.04 : 13,723.16 = 3,950.80 : x
  2. Step 2: Convert to fraction form
    9,145.04/13,723.16 = 3,950.80/x
  3. Step 3: Cross multiply
    9,145.04x = 13,723.16 × 3,950.80
  4. Step 4: Simplify right side
    9,145.04x = 54,217,460.53
  5. Step 5: Solve for x
    x = 54,217,460.53/9,145.04
  6. Step 6: Final answer
    x = 5,928.62

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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.