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Finding the Fourth Proportional to 7,573, 10,451.73 and 4,589.95

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Solution

The fourth proportional to 7,573, 10,451.73 and 4,589.95 is: 6,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573 : 10,451.73 = 4,589.95 : x
  2. Step 2: Convert to fraction form
    7,573/10,451.73 = 4,589.95/x
  3. Step 3: Cross multiply
    7,573x = 10,451.73 × 4,589.95
  4. Step 4: Simplify right side
    7,573x = 47,972,918.11
  5. Step 5: Solve for x
    x = 47,972,918.11/7,573
  6. Step 6: Final answer
    x = 6,334.73

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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.