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Finding the Fourth Proportional to 8,389.76, 11,578.16 and 4,613.08

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Solution

The fourth proportional to 8,389.76, 11,578.16 and 4,613.08 is: 6,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.76 : 11,578.16 = 4,613.08 : x
  2. Step 2: Convert to fraction form
    8,389.76/11,578.16 = 4,613.08/x
  3. Step 3: Cross multiply
    8,389.76x = 11,578.16 × 4,613.08
  4. Step 4: Simplify right side
    8,389.76x = 53,410,978.33
  5. Step 5: Solve for x
    x = 53,410,978.33/8,389.76
  6. Step 6: Final answer
    x = 6,366.21

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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.