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Finding the Fourth Proportional to 8,011.70, 11,056.14 and 4,474.92

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Solution

The fourth proportional to 8,011.70, 11,056.14 and 4,474.92 is: 6,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.70 : 11,056.14 = 4,474.92 : x
  2. Step 2: Convert to fraction form
    8,011.70/11,056.14 = 4,474.92/x
  3. Step 3: Cross multiply
    8,011.70x = 11,056.14 × 4,474.92
  4. Step 4: Simplify right side
    8,011.70x = 49,475,342.01
  5. Step 5: Solve for x
    x = 49,475,342.01/8,011.70
  6. Step 6: Final answer
    x = 6,175.39

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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.