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Finding the Fourth Proportional to 9,714.36, 13,411.95 and 6,729.12

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Solution

The fourth proportional to 9,714.36, 13,411.95 and 6,729.12 is: 9,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.36 : 13,411.95 = 6,729.12 : x
  2. Step 2: Convert to fraction form
    9,714.36/13,411.95 = 6,729.12/x
  3. Step 3: Cross multiply
    9,714.36x = 13,411.95 × 6,729.12
  4. Step 4: Simplify right side
    9,714.36x = 90,250,620.98
  5. Step 5: Solve for x
    x = 90,250,620.98/9,714.36
  6. Step 6: Final answer
    x = 9,290.43

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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.