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Finding the Fourth Proportional to 6,398.73, 8,830.49 and 3,566.16

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Solution

The fourth proportional to 6,398.73, 8,830.49 and 3,566.16 is: 4,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.73 : 8,830.49 = 3,566.16 : x
  2. Step 2: Convert to fraction form
    6,398.73/8,830.49 = 3,566.16/x
  3. Step 3: Cross multiply
    6,398.73x = 8,830.49 × 3,566.16
  4. Step 4: Simplify right side
    6,398.73x = 31,490,922.39
  5. Step 5: Solve for x
    x = 31,490,922.39/6,398.73
  6. Step 6: Final answer
    x = 4,921.43

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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.