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Finding the Fourth Proportional to 7,148.88, 10,723.79 and 1,954.75

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Solution

The fourth proportional to 7,148.88, 10,723.79 and 1,954.75 is: 2,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.88 : 10,723.79 = 1,954.75 : x
  2. Step 2: Convert to fraction form
    7,148.88/10,723.79 = 1,954.75/x
  3. Step 3: Cross multiply
    7,148.88x = 10,723.79 × 1,954.75
  4. Step 4: Simplify right side
    7,148.88x = 20,962,328.50
  5. Step 5: Solve for x
    x = 20,962,328.50/7,148.88
  6. Step 6: Final answer
    x = 2,932.25

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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.