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Finding the Fourth Proportional to 7,792.60, 10,742.60 and 4,806.42

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Solution

The fourth proportional to 7,792.60, 10,742.60 and 4,806.42 is: 6,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.60 : 10,742.60 = 4,806.42 : x
  2. Step 2: Convert to fraction form
    7,792.60/10,742.60 = 4,806.42/x
  3. Step 3: Cross multiply
    7,792.60x = 10,742.60 × 4,806.42
  4. Step 4: Simplify right side
    7,792.60x = 51,633,447.49
  5. Step 5: Solve for x
    x = 51,633,447.49/7,792.60
  6. Step 6: Final answer
    x = 6,625.96

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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.