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Finding the Fourth Proportional to 7,294.56, 10,943.56 and 2,364.20

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Solution

The fourth proportional to 7,294.56, 10,943.56 and 2,364.20 is: 3,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.56 : 10,943.56 = 2,364.20 : x
  2. Step 2: Convert to fraction form
    7,294.56/10,943.56 = 2,364.20/x
  3. Step 3: Cross multiply
    7,294.56x = 10,943.56 × 2,364.20
  4. Step 4: Simplify right side
    7,294.56x = 25,872,764.55
  5. Step 5: Solve for x
    x = 25,872,764.55/7,294.56
  6. Step 6: Final answer
    x = 3,546.86

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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.