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Finding the Fourth Proportional to 7,309.92, 10,975.86 and 4,193.46

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Solution

The fourth proportional to 7,309.92, 10,975.86 and 4,193.46 is: 6,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.92 : 10,975.86 = 4,193.46 : x
  2. Step 2: Convert to fraction form
    7,309.92/10,975.86 = 4,193.46/x
  3. Step 3: Cross multiply
    7,309.92x = 10,975.86 × 4,193.46
  4. Step 4: Simplify right side
    7,309.92x = 46,026,829.88
  5. Step 5: Solve for x
    x = 46,026,829.88/7,309.92
  6. Step 6: Final answer
    x = 6,296.49

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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.