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Finding the Fourth Proportional to 13,951.96, 19,253.94 and 7,664.92

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Solution

The fourth proportional to 13,951.96, 19,253.94 and 7,664.92 is: 10,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.96 : 19,253.94 = 7,664.92 : x
  2. Step 2: Convert to fraction form
    13,951.96/19,253.94 = 7,664.92/x
  3. Step 3: Cross multiply
    13,951.96x = 19,253.94 × 7,664.92
  4. Step 4: Simplify right side
    13,951.96x = 147,579,909.78
  5. Step 5: Solve for x
    x = 147,579,909.78/13,951.96
  6. Step 6: Final answer
    x = 10,577.72

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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.