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Finding the Fourth Proportional to 7,612.72, 11,419.08 and 2,419

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Solution

The fourth proportional to 7,612.72, 11,419.08 and 2,419 is: 3,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.72 : 11,419.08 = 2,419 : x
  2. Step 2: Convert to fraction form
    7,612.72/11,419.08 = 2,419/x
  3. Step 3: Cross multiply
    7,612.72x = 11,419.08 × 2,419
  4. Step 4: Simplify right side
    7,612.72x = 27,622,754.52
  5. Step 5: Solve for x
    x = 27,622,754.52/7,612.72
  6. Step 6: Final answer
    x = 3,628.50

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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.