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Finding the Fourth Proportional to 6,601.95, 9,847.29 and 6,142.68

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Solution

The fourth proportional to 6,601.95, 9,847.29 and 6,142.68 is: 9,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.95 : 9,847.29 = 6,142.68 : x
  2. Step 2: Convert to fraction form
    6,601.95/9,847.29 = 6,142.68/x
  3. Step 3: Cross multiply
    6,601.95x = 9,847.29 × 6,142.68
  4. Step 4: Simplify right side
    6,601.95x = 60,488,751.34
  5. Step 5: Solve for x
    x = 60,488,751.34/6,601.95
  6. Step 6: Final answer
    x = 9,162.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.