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Finding the Fourth Proportional to 6,510.97, 9,768.08 and 3,739.42

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Solution

The fourth proportional to 6,510.97, 9,768.08 and 3,739.42 is: 5,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.97 : 9,768.08 = 3,739.42 : x
  2. Step 2: Convert to fraction form
    6,510.97/9,768.08 = 3,739.42/x
  3. Step 3: Cross multiply
    6,510.97x = 9,768.08 × 3,739.42
  4. Step 4: Simplify right side
    6,510.97x = 36,526,953.71
  5. Step 5: Solve for x
    x = 36,526,953.71/6,510.97
  6. Step 6: Final answer
    x = 5,610.06

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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.