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Finding the Fourth Proportional to 10,671.84, 16,006.08 and 4,098.24

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Solution

The fourth proportional to 10,671.84, 16,006.08 and 4,098.24 is: 6,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.84 : 16,006.08 = 4,098.24 : x
  2. Step 2: Convert to fraction form
    10,671.84/16,006.08 = 4,098.24/x
  3. Step 3: Cross multiply
    10,671.84x = 16,006.08 × 4,098.24
  4. Step 4: Simplify right side
    10,671.84x = 65,596,757.30
  5. Step 5: Solve for x
    x = 65,596,757.30/10,671.84
  6. Step 6: Final answer
    x = 6,146.71

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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.