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Finding the Fourth Proportional to 6,398.02, 8,830.92 and 4,165.48

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Solution

The fourth proportional to 6,398.02, 8,830.92 and 4,165.48 is: 5,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.02 : 8,830.92 = 4,165.48 : x
  2. Step 2: Convert to fraction form
    6,398.02/8,830.92 = 4,165.48/x
  3. Step 3: Cross multiply
    6,398.02x = 8,830.92 × 4,165.48
  4. Step 4: Simplify right side
    6,398.02x = 36,785,020.64
  5. Step 5: Solve for x
    x = 36,785,020.64/6,398.02
  6. Step 6: Final answer
    x = 5,749.44

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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.