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Finding the Fourth Proportional to 6,376.93, 9,567.82 and 5,758.49

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Solution

The fourth proportional to 6,376.93, 9,567.82 and 5,758.49 is: 8,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.93 : 9,567.82 = 5,758.49 : x
  2. Step 2: Convert to fraction form
    6,376.93/9,567.82 = 5,758.49/x
  3. Step 3: Cross multiply
    6,376.93x = 9,567.82 × 5,758.49
  4. Step 4: Simplify right side
    6,376.93x = 55,096,226.91
  5. Step 5: Solve for x
    x = 55,096,226.91/6,376.93
  6. Step 6: Final answer
    x = 8,639.93

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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.