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Finding the Fourth Proportional to 7,767, 10,718.53 and 4,230.27

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Solution

The fourth proportional to 7,767, 10,718.53 and 4,230.27 is: 5,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 10,718.53 = 4,230.27 : x
  2. Step 2: Convert to fraction form
    7,767/10,718.53 = 4,230.27/x
  3. Step 3: Cross multiply
    7,767x = 10,718.53 × 4,230.27
  4. Step 4: Simplify right side
    7,767x = 45,342,265.33
  5. Step 5: Solve for x
    x = 45,342,265.33/7,767
  6. Step 6: Final answer
    x = 5,837.81

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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.