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Finding the Fourth Proportional to 6,398.27, 8,830.26 and 3,566.10

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Solution

The fourth proportional to 6,398.27, 8,830.26 and 3,566.10 is: 4,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.27 : 8,830.26 = 3,566.10 : x
  2. Step 2: Convert to fraction form
    6,398.27/8,830.26 = 3,566.10/x
  3. Step 3: Cross multiply
    6,398.27x = 8,830.26 × 3,566.10
  4. Step 4: Simplify right side
    6,398.27x = 31,489,590.19
  5. Step 5: Solve for x
    x = 31,489,590.19/6,398.27
  6. Step 6: Final answer
    x = 4,921.58

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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.