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Finding the Fourth Proportional to 9,245.76, 13,867.16 and 3,400.96

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Solution

The fourth proportional to 9,245.76, 13,867.16 and 3,400.96 is: 5,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.76 : 13,867.16 = 3,400.96 : x
  2. Step 2: Convert to fraction form
    9,245.76/13,867.16 = 3,400.96/x
  3. Step 3: Cross multiply
    9,245.76x = 13,867.16 × 3,400.96
  4. Step 4: Simplify right side
    9,245.76x = 47,161,656.47
  5. Step 5: Solve for x
    x = 47,161,656.47/9,245.76
  6. Step 6: Final answer
    x = 5,100.90

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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.