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Finding the Fourth Proportional to 6,153.84, 8,493.66 and 3,764.34

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Solution

The fourth proportional to 6,153.84, 8,493.66 and 3,764.34 is: 5,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.84 : 8,493.66 = 3,764.34 : x
  2. Step 2: Convert to fraction form
    6,153.84/8,493.66 = 3,764.34/x
  3. Step 3: Cross multiply
    6,153.84x = 8,493.66 × 3,764.34
  4. Step 4: Simplify right side
    6,153.84x = 31,973,024.08
  5. Step 5: Solve for x
    x = 31,973,024.08/6,153.84
  6. Step 6: Final answer
    x = 5,195.62

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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.