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Finding the Fourth Proportional to 15,471.63, 23,212.44 and 7,157.10

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Solution

The fourth proportional to 15,471.63, 23,212.44 and 7,157.10 is: 10,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.63 : 23,212.44 = 7,157.10 : x
  2. Step 2: Convert to fraction form
    15,471.63/23,212.44 = 7,157.10/x
  3. Step 3: Cross multiply
    15,471.63x = 23,212.44 × 7,157.10
  4. Step 4: Simplify right side
    15,471.63x = 166,133,754.32
  5. Step 5: Solve for x
    x = 166,133,754.32/15,471.63
  6. Step 6: Final answer
    x = 10,737.96

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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.