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Finding the Fourth Proportional to 9,896.78, 14,757.86 and 9,807.88

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Solution

The fourth proportional to 9,896.78, 14,757.86 and 9,807.88 is: 14,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.78 : 14,757.86 = 9,807.88 : x
  2. Step 2: Convert to fraction form
    9,896.78/14,757.86 = 9,807.88/x
  3. Step 3: Cross multiply
    9,896.78x = 14,757.86 × 9,807.88
  4. Step 4: Simplify right side
    9,896.78x = 144,743,319.94
  5. Step 5: Solve for x
    x = 144,743,319.94/9,896.78
  6. Step 6: Final answer
    x = 14,625.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.