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Finding the Fourth Proportional to 6,278.34, 9,415.34 and 1,834.82

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Solution

The fourth proportional to 6,278.34, 9,415.34 and 1,834.82 is: 2,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.34 : 9,415.34 = 1,834.82 : x
  2. Step 2: Convert to fraction form
    6,278.34/9,415.34 = 1,834.82/x
  3. Step 3: Cross multiply
    6,278.34x = 9,415.34 × 1,834.82
  4. Step 4: Simplify right side
    6,278.34x = 17,275,440.08
  5. Step 5: Solve for x
    x = 17,275,440.08/6,278.34
  6. Step 6: Final answer
    x = 2,751.59

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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.