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Finding the Fourth Proportional to 7,573, 10,451.38 and 4,261.64

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Solution

The fourth proportional to 7,573, 10,451.38 and 4,261.64 is: 5,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573 : 10,451.38 = 4,261.64 : x
  2. Step 2: Convert to fraction form
    7,573/10,451.38 = 4,261.64/x
  3. Step 3: Cross multiply
    7,573x = 10,451.38 × 4,261.64
  4. Step 4: Simplify right side
    7,573x = 44,540,019.06
  5. Step 5: Solve for x
    x = 44,540,019.06/7,573
  6. Step 6: Final answer
    x = 5,881.42

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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.