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Finding the Fourth Proportional to 6,442.16, 9,707.12 and 5,297.80

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Solution

The fourth proportional to 6,442.16, 9,707.12 and 5,297.80 is: 7,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.16 : 9,707.12 = 5,297.80 : x
  2. Step 2: Convert to fraction form
    6,442.16/9,707.12 = 5,297.80/x
  3. Step 3: Cross multiply
    6,442.16x = 9,707.12 × 5,297.80
  4. Step 4: Simplify right side
    6,442.16x = 51,426,380.34
  5. Step 5: Solve for x
    x = 51,426,380.34/6,442.16
  6. Step 6: Final answer
    x = 7,982.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.