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Finding the Fourth Proportional to 6,348.98, 9,525.97 and 1,966.78

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Solution

The fourth proportional to 6,348.98, 9,525.97 and 1,966.78 is: 2,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.98 : 9,525.97 = 1,966.78 : x
  2. Step 2: Convert to fraction form
    6,348.98/9,525.97 = 1,966.78/x
  3. Step 3: Cross multiply
    6,348.98x = 9,525.97 × 1,966.78
  4. Step 4: Simplify right side
    6,348.98x = 18,735,442.11
  5. Step 5: Solve for x
    x = 18,735,442.11/6,348.98
  6. Step 6: Final answer
    x = 2,950.94

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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.