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Finding the Fourth Proportional to 6,777.84, 9,352.58 and 3,792.92

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Solution

The fourth proportional to 6,777.84, 9,352.58 and 3,792.92 is: 5,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.84 : 9,352.58 = 3,792.92 : x
  2. Step 2: Convert to fraction form
    6,777.84/9,352.58 = 3,792.92/x
  3. Step 3: Cross multiply
    6,777.84x = 9,352.58 × 3,792.92
  4. Step 4: Simplify right side
    6,777.84x = 35,473,522.01
  5. Step 5: Solve for x
    x = 35,473,522.01/6,777.84
  6. Step 6: Final answer
    x = 5,233.75

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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.