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Finding the Fourth Proportional to 7,302.92, 10,954.44 and 3,142.64

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Solution

The fourth proportional to 7,302.92, 10,954.44 and 3,142.64 is: 4,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.92 : 10,954.44 = 3,142.64 : x
  2. Step 2: Convert to fraction form
    7,302.92/10,954.44 = 3,142.64/x
  3. Step 3: Cross multiply
    7,302.92x = 10,954.44 × 3,142.64
  4. Step 4: Simplify right side
    7,302.92x = 34,425,861.32
  5. Step 5: Solve for x
    x = 34,425,861.32/7,302.92
  6. Step 6: Final answer
    x = 4,713.99

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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.