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Finding the Fourth Proportional to 6,398.78, 8,830.19 and 3,566.15

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Solution

The fourth proportional to 6,398.78, 8,830.19 and 3,566.15 is: 4,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.78 : 8,830.19 = 3,566.15 : x
  2. Step 2: Convert to fraction form
    6,398.78/8,830.19 = 3,566.15/x
  3. Step 3: Cross multiply
    6,398.78x = 8,830.19 × 3,566.15
  4. Step 4: Simplify right side
    6,398.78x = 31,489,720.09
  5. Step 5: Solve for x
    x = 31,489,720.09/6,398.78
  6. Step 6: Final answer
    x = 4,921.20

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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.