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Finding the Fourth Proportional to 10,705.71, 16,063.16 and 4,136.48

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Solution

The fourth proportional to 10,705.71, 16,063.16 and 4,136.48 is: 6,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.71 : 16,063.16 = 4,136.48 : x
  2. Step 2: Convert to fraction form
    10,705.71/16,063.16 = 4,136.48/x
  3. Step 3: Cross multiply
    10,705.71x = 16,063.16 × 4,136.48
  4. Step 4: Simplify right side
    10,705.71x = 66,444,940.08
  5. Step 5: Solve for x
    x = 66,444,940.08/10,705.71
  6. Step 6: Final answer
    x = 6,206.50

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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.