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Finding the Fourth Proportional to 8,601.84, 11,856.72 and 6,474.24

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Solution

The fourth proportional to 8,601.84, 11,856.72 and 6,474.24 is: 8,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.84 : 11,856.72 = 6,474.24 : x
  2. Step 2: Convert to fraction form
    8,601.84/11,856.72 = 6,474.24/x
  3. Step 3: Cross multiply
    8,601.84x = 11,856.72 × 6,474.24
  4. Step 4: Simplify right side
    8,601.84x = 76,763,250.89
  5. Step 5: Solve for x
    x = 76,763,250.89/8,601.84
  6. Step 6: Final answer
    x = 8,924.05

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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.