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Finding the Fourth Proportional to 10,241.64, 14,103.72 and 8,896.64

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Solution

The fourth proportional to 10,241.64, 14,103.72 and 8,896.64 is: 12,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.64 : 14,103.72 = 8,896.64 : x
  2. Step 2: Convert to fraction form
    10,241.64/14,103.72 = 8,896.64/x
  3. Step 3: Cross multiply
    10,241.64x = 14,103.72 × 8,896.64
  4. Step 4: Simplify right side
    10,241.64x = 125,475,648.98
  5. Step 5: Solve for x
    x = 125,475,648.98/10,241.64
  6. Step 6: Final answer
    x = 12,251.52

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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.