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Finding the Fourth Proportional to 6,819.84, 9,411.42 and 4,166.82

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Solution

The fourth proportional to 6,819.84, 9,411.42 and 4,166.82 is: 5,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.84 : 9,411.42 = 4,166.82 : x
  2. Step 2: Convert to fraction form
    6,819.84/9,411.42 = 4,166.82/x
  3. Step 3: Cross multiply
    6,819.84x = 9,411.42 × 4,166.82
  4. Step 4: Simplify right side
    6,819.84x = 39,215,693.08
  5. Step 5: Solve for x
    x = 39,215,693.08/6,819.84
  6. Step 6: Final answer
    x = 5,750.24

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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.