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Finding the Fourth Proportional to 10,856.94, 14,982.03 and 6,141.12

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Solution

The fourth proportional to 10,856.94, 14,982.03 and 6,141.12 is: 8,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.94 : 14,982.03 = 6,141.12 : x
  2. Step 2: Convert to fraction form
    10,856.94/14,982.03 = 6,141.12/x
  3. Step 3: Cross multiply
    10,856.94x = 14,982.03 × 6,141.12
  4. Step 4: Simplify right side
    10,856.94x = 92,006,444.07
  5. Step 5: Solve for x
    x = 92,006,444.07/10,856.94
  6. Step 6: Final answer
    x = 8,474.44

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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.