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Finding the Fourth Proportional to 10,706.99, 16,065.07 and 4,137.78

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Solution

The fourth proportional to 10,706.99, 16,065.07 and 4,137.78 is: 6,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.99 : 16,065.07 = 4,137.78 : x
  2. Step 2: Convert to fraction form
    10,706.99/16,065.07 = 4,137.78/x
  3. Step 3: Cross multiply
    10,706.99x = 16,065.07 × 4,137.78
  4. Step 4: Simplify right side
    10,706.99x = 66,473,725.34
  5. Step 5: Solve for x
    x = 66,473,725.34/10,706.99
  6. Step 6: Final answer
    x = 6,208.44

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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.