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Finding the Fourth Proportional to 8,390.68, 11,578.54 and 4,613.78

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Solution

The fourth proportional to 8,390.68, 11,578.54 and 4,613.78 is: 6,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.68 : 11,578.54 = 4,613.78 : x
  2. Step 2: Convert to fraction form
    8,390.68/11,578.54 = 4,613.78/x
  3. Step 3: Cross multiply
    8,390.68x = 11,578.54 × 4,613.78
  4. Step 4: Simplify right side
    8,390.68x = 53,420,813.21
  5. Step 5: Solve for x
    x = 53,420,813.21/8,390.68
  6. Step 6: Final answer
    x = 6,366.69

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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.