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Finding the Fourth Proportional to 6,714.70, 9,264.61 and 4,026.34

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Solution

The fourth proportional to 6,714.70, 9,264.61 and 4,026.34 is: 5,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.70 : 9,264.61 = 4,026.34 : x
  2. Step 2: Convert to fraction form
    6,714.70/9,264.61 = 4,026.34/x
  3. Step 3: Cross multiply
    6,714.70x = 9,264.61 × 4,026.34
  4. Step 4: Simplify right side
    6,714.70x = 37,302,469.83
  5. Step 5: Solve for x
    x = 37,302,469.83/6,714.70
  6. Step 6: Final answer
    x = 5,555.34

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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.