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Finding the Fourth Proportional to 7,234.71, 10,852.53 and 2,794.50

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Solution

The fourth proportional to 7,234.71, 10,852.53 and 2,794.50 is: 4,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.71 : 10,852.53 = 2,794.50 : x
  2. Step 2: Convert to fraction form
    7,234.71/10,852.53 = 2,794.50/x
  3. Step 3: Cross multiply
    7,234.71x = 10,852.53 × 2,794.50
  4. Step 4: Simplify right side
    7,234.71x = 30,327,326.85
  5. Step 5: Solve for x
    x = 30,327,326.85/7,234.71
  6. Step 6: Final answer
    x = 4,191.92

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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.