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Finding the Fourth Proportional to 7,646.94, 11,472.21 and 2,381.70

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Solution

The fourth proportional to 7,646.94, 11,472.21 and 2,381.70 is: 3,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.94 : 11,472.21 = 2,381.70 : x
  2. Step 2: Convert to fraction form
    7,646.94/11,472.21 = 2,381.70/x
  3. Step 3: Cross multiply
    7,646.94x = 11,472.21 × 2,381.70
  4. Step 4: Simplify right side
    7,646.94x = 27,323,362.56
  5. Step 5: Solve for x
    x = 27,323,362.56/7,646.94
  6. Step 6: Final answer
    x = 3,573.11

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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.