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Finding the Fourth Proportional to 6,947.03, 10,421.87 and 2,266.65

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Solution

The fourth proportional to 6,947.03, 10,421.87 and 2,266.65 is: 3,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.03 : 10,421.87 = 2,266.65 : x
  2. Step 2: Convert to fraction form
    6,947.03/10,421.87 = 2,266.65/x
  3. Step 3: Cross multiply
    6,947.03x = 10,421.87 × 2,266.65
  4. Step 4: Simplify right side
    6,947.03x = 23,622,720.30
  5. Step 5: Solve for x
    x = 23,622,720.30/6,947.03
  6. Step 6: Final answer
    x = 3,400.40

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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.