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Finding the Fourth Proportional to 10,706.36, 16,034.88 and 7,725.92

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Solution

The fourth proportional to 10,706.36, 16,034.88 and 7,725.92 is: 11,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.36 : 16,034.88 = 7,725.92 : x
  2. Step 2: Convert to fraction form
    10,706.36/16,034.88 = 7,725.92/x
  3. Step 3: Cross multiply
    10,706.36x = 16,034.88 × 7,725.92
  4. Step 4: Simplify right side
    10,706.36x = 123,884,200.09
  5. Step 5: Solve for x
    x = 123,884,200.09/10,706.36
  6. Step 6: Final answer
    x = 11,571.08

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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.