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Finding the Fourth Proportional to 10,295.87, 14,208.48 and 7,109.82

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Solution

The fourth proportional to 10,295.87, 14,208.48 and 7,109.82 is: 9,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.87 : 14,208.48 = 7,109.82 : x
  2. Step 2: Convert to fraction form
    10,295.87/14,208.48 = 7,109.82/x
  3. Step 3: Cross multiply
    10,295.87x = 14,208.48 × 7,109.82
  4. Step 4: Simplify right side
    10,295.87x = 101,019,735.27
  5. Step 5: Solve for x
    x = 101,019,735.27/10,295.87
  6. Step 6: Final answer
    x = 9,811.68

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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.