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Finding the Fourth Proportional to 9,753.26, 14,638.09 and 9,138.16

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Solution

The fourth proportional to 9,753.26, 14,638.09 and 9,138.16 is: 13,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.26 : 14,638.09 = 9,138.16 : x
  2. Step 2: Convert to fraction form
    9,753.26/14,638.09 = 9,138.16/x
  3. Step 3: Cross multiply
    9,753.26x = 14,638.09 × 9,138.16
  4. Step 4: Simplify right side
    9,753.26x = 133,765,162.82
  5. Step 5: Solve for x
    x = 133,765,162.82/9,753.26
  6. Step 6: Final answer
    x = 13,714.93

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1.5x scale

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.