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Finding the Fourth Proportional to 9,857.10, 14,822.10 and 8,253.30

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Solution

The fourth proportional to 9,857.10, 14,822.10 and 8,253.30 is: 12,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.10 : 14,822.10 = 8,253.30 : x
  2. Step 2: Convert to fraction form
    9,857.10/14,822.10 = 8,253.30/x
  3. Step 3: Cross multiply
    9,857.10x = 14,822.10 × 8,253.30
  4. Step 4: Simplify right side
    9,857.10x = 122,331,237.93
  5. Step 5: Solve for x
    x = 122,331,237.93/9,857.10
  6. Step 6: Final answer
    x = 12,410.47

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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.