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Finding the Fourth Proportional to 7,095.88, 9,792.38 and 3,952.12

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Solution

The fourth proportional to 7,095.88, 9,792.38 and 3,952.12 is: 5,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.88 : 9,792.38 = 3,952.12 : x
  2. Step 2: Convert to fraction form
    7,095.88/9,792.38 = 3,952.12/x
  3. Step 3: Cross multiply
    7,095.88x = 9,792.38 × 3,952.12
  4. Step 4: Simplify right side
    7,095.88x = 38,700,660.85
  5. Step 5: Solve for x
    x = 38,700,660.85/7,095.88
  6. Step 6: Final answer
    x = 5,453.96

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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.