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Finding the Fourth Proportional to 6,175.84, 9,263.73 and 1,558.84

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Solution

The fourth proportional to 6,175.84, 9,263.73 and 1,558.84 is: 2,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.84 : 9,263.73 = 1,558.84 : x
  2. Step 2: Convert to fraction form
    6,175.84/9,263.73 = 1,558.84/x
  3. Step 3: Cross multiply
    6,175.84x = 9,263.73 × 1,558.84
  4. Step 4: Simplify right side
    6,175.84x = 14,440,626.55
  5. Step 5: Solve for x
    x = 14,440,626.55/6,175.84
  6. Step 6: Final answer
    x = 2,338.25

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Similar ratio
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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.