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Finding the Fourth Proportional to 6,666.77, 9,201.93 and 3,834.46

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Solution

The fourth proportional to 6,666.77, 9,201.93 and 3,834.46 is: 5,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.77 : 9,201.93 = 3,834.46 : x
  2. Step 2: Convert to fraction form
    6,666.77/9,201.93 = 3,834.46/x
  3. Step 3: Cross multiply
    6,666.77x = 9,201.93 × 3,834.46
  4. Step 4: Simplify right side
    6,666.77x = 35,284,409.50
  5. Step 5: Solve for x
    x = 35,284,409.50/6,666.77
  6. Step 6: Final answer
    x = 5,292.58

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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.