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Finding the Fourth Proportional to 6,950.65, 9,592.59 and 3,966.93

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Solution

The fourth proportional to 6,950.65, 9,592.59 and 3,966.93 is: 5,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.65 : 9,592.59 = 3,966.93 : x
  2. Step 2: Convert to fraction form
    6,950.65/9,592.59 = 3,966.93/x
  3. Step 3: Cross multiply
    6,950.65x = 9,592.59 × 3,966.93
  4. Step 4: Simplify right side
    6,950.65x = 38,053,137.20
  5. Step 5: Solve for x
    x = 38,053,137.20/6,950.65
  6. Step 6: Final answer
    x = 5,474.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.