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Finding the Fourth Proportional to 9,242.14, 13,863.22 and 2,316.64

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Solution

The fourth proportional to 9,242.14, 13,863.22 and 2,316.64 is: 3,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.14 : 13,863.22 = 2,316.64 : x
  2. Step 2: Convert to fraction form
    9,242.14/13,863.22 = 2,316.64/x
  3. Step 3: Cross multiply
    9,242.14x = 13,863.22 × 2,316.64
  4. Step 4: Simplify right side
    9,242.14x = 32,116,089.98
  5. Step 5: Solve for x
    x = 32,116,089.98/9,242.14
  6. Step 6: Final answer
    x = 3,474.96

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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.