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Finding the Fourth Proportional to 6,676.80, 10,006.68 and 3,166.80

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Solution

The fourth proportional to 6,676.80, 10,006.68 and 3,166.80 is: 4,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.80 : 10,006.68 = 3,166.80 : x
  2. Step 2: Convert to fraction form
    6,676.80/10,006.68 = 3,166.80/x
  3. Step 3: Cross multiply
    6,676.80x = 10,006.68 × 3,166.80
  4. Step 4: Simplify right side
    6,676.80x = 31,689,154.22
  5. Step 5: Solve for x
    x = 31,689,154.22/6,676.80
  6. Step 6: Final answer
    x = 4,746.16

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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.