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Finding the Fourth Proportional to 9,896.00, 13,658.94 and 6,714.63

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Solution

The fourth proportional to 9,896.00, 13,658.94 and 6,714.63 is: 9,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.00 : 13,658.94 = 6,714.63 : x
  2. Step 2: Convert to fraction form
    9,896.00/13,658.94 = 6,714.63/x
  3. Step 3: Cross multiply
    9,896.00x = 13,658.94 × 6,714.63
  4. Step 4: Simplify right side
    9,896.00x = 91,714,728.29
  5. Step 5: Solve for x
    x = 91,714,728.29/9,896.00
  6. Step 6: Final answer
    x = 9,267.86

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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.