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Finding the Fourth Proportional to 7,213.63, 9,954.80 and 4,069.75

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Solution

The fourth proportional to 7,213.63, 9,954.80 and 4,069.75 is: 5,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.63 : 9,954.80 = 4,069.75 : x
  2. Step 2: Convert to fraction form
    7,213.63/9,954.80 = 4,069.75/x
  3. Step 3: Cross multiply
    7,213.63x = 9,954.80 × 4,069.75
  4. Step 4: Simplify right side
    7,213.63x = 40,513,507.70
  5. Step 5: Solve for x
    x = 40,513,507.70/7,213.63
  6. Step 6: Final answer
    x = 5,616.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.