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Finding the Fourth Proportional to 6,348.42, 9,521.31 and 3,714.18

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Solution

The fourth proportional to 6,348.42, 9,521.31 and 3,714.18 is: 5,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.42 : 9,521.31 = 3,714.18 : x
  2. Step 2: Convert to fraction form
    6,348.42/9,521.31 = 3,714.18/x
  3. Step 3: Cross multiply
    6,348.42x = 9,521.31 × 3,714.18
  4. Step 4: Simplify right side
    6,348.42x = 35,363,859.18
  5. Step 5: Solve for x
    x = 35,363,859.18/6,348.42
  6. Step 6: Final answer
    x = 5,570.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.