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Finding the Fourth Proportional to 10,657.69, 14,702.94 and 10,163.59

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Solution

The fourth proportional to 10,657.69, 14,702.94 and 10,163.59 is: 14,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.69 : 14,702.94 = 10,163.59 : x
  2. Step 2: Convert to fraction form
    10,657.69/14,702.94 = 10,163.59/x
  3. Step 3: Cross multiply
    10,657.69x = 14,702.94 × 10,163.59
  4. Step 4: Simplify right side
    10,657.69x = 149,434,529.62
  5. Step 5: Solve for x
    x = 149,434,529.62/10,657.69
  6. Step 6: Final answer
    x = 14,021.29

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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.