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Finding the Fourth Proportional to 6,666.84, 9,200.34 and 3,682.94

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Solution

The fourth proportional to 6,666.84, 9,200.34 and 3,682.94 is: 5,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.84 : 9,200.34 = 3,682.94 : x
  2. Step 2: Convert to fraction form
    6,666.84/9,200.34 = 3,682.94/x
  3. Step 3: Cross multiply
    6,666.84x = 9,200.34 × 3,682.94
  4. Step 4: Simplify right side
    6,666.84x = 33,884,254.20
  5. Step 5: Solve for x
    x = 33,884,254.20/6,666.84
  6. Step 6: Final answer
    x = 5,082.51

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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.