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Finding the Fourth Proportional to 6,974.10, 10,461.12 and 1,779.96

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Solution

The fourth proportional to 6,974.10, 10,461.12 and 1,779.96 is: 2,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.10 : 10,461.12 = 1,779.96 : x
  2. Step 2: Convert to fraction form
    6,974.10/10,461.12 = 1,779.96/x
  3. Step 3: Cross multiply
    6,974.10x = 10,461.12 × 1,779.96
  4. Step 4: Simplify right side
    6,974.10x = 18,620,375.16
  5. Step 5: Solve for x
    x = 18,620,375.16/6,974.10
  6. Step 6: Final answer
    x = 2,669.93

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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.