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Finding the Fourth Proportional to 7,245.99, 10,869.78 and 2,314.47

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Solution

The fourth proportional to 7,245.99, 10,869.78 and 2,314.47 is: 3,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.99 : 10,869.78 = 2,314.47 : x
  2. Step 2: Convert to fraction form
    7,245.99/10,869.78 = 2,314.47/x
  3. Step 3: Cross multiply
    7,245.99x = 10,869.78 × 2,314.47
  4. Step 4: Simplify right side
    7,245.99x = 25,157,779.72
  5. Step 5: Solve for x
    x = 25,157,779.72/7,245.99
  6. Step 6: Final answer
    x = 3,471.96

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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.