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Finding the Fourth Proportional to 7,906.59, 10,919.70 and 5,265.18

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Solution

The fourth proportional to 7,906.59, 10,919.70 and 5,265.18 is: 7,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.59 : 10,919.70 = 5,265.18 : x
  2. Step 2: Convert to fraction form
    7,906.59/10,919.70 = 5,265.18/x
  3. Step 3: Cross multiply
    7,906.59x = 10,919.70 × 5,265.18
  4. Step 4: Simplify right side
    7,906.59x = 57,494,186.05
  5. Step 5: Solve for x
    x = 57,494,186.05/7,906.59
  6. Step 6: Final answer
    x = 7,271.68

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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.