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Finding the Fourth Proportional to 6,142.56, 9,213.90 and 1,525.56

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Solution

The fourth proportional to 6,142.56, 9,213.90 and 1,525.56 is: 2,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.56 : 9,213.90 = 1,525.56 : x
  2. Step 2: Convert to fraction form
    6,142.56/9,213.90 = 1,525.56/x
  3. Step 3: Cross multiply
    6,142.56x = 9,213.90 × 1,525.56
  4. Step 4: Simplify right side
    6,142.56x = 14,056,357.28
  5. Step 5: Solve for x
    x = 14,056,357.28/6,142.56
  6. Step 6: Final answer
    x = 2,288.35

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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.