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Finding the Fourth Proportional to 22,002.68, 33,005.46 and 6,419

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Solution

The fourth proportional to 22,002.68, 33,005.46 and 6,419 is: 9,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.68 : 33,005.46 = 6,419 : x
  2. Step 2: Convert to fraction form
    22,002.68/33,005.46 = 6,419/x
  3. Step 3: Cross multiply
    22,002.68x = 33,005.46 × 6,419
  4. Step 4: Simplify right side
    22,002.68x = 211,862,047.74
  5. Step 5: Solve for x
    x = 211,862,047.74/22,002.68
  6. Step 6: Final answer
    x = 9,628.92

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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.