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Finding the Fourth Proportional to 7,406.47, 11,119.47 and 6,795.19

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Solution

The fourth proportional to 7,406.47, 11,119.47 and 6,795.19 is: 10,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.47 : 11,119.47 = 6,795.19 : x
  2. Step 2: Convert to fraction form
    7,406.47/11,119.47 = 6,795.19/x
  3. Step 3: Cross multiply
    7,406.47x = 11,119.47 × 6,795.19
  4. Step 4: Simplify right side
    7,406.47x = 75,558,911.35
  5. Step 5: Solve for x
    x = 75,558,911.35/7,406.47
  6. Step 6: Final answer
    x = 10,201.74

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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.