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Finding the Fourth Proportional to 8,382.38, 11,567.70 and 4,656.38

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Solution

The fourth proportional to 8,382.38, 11,567.70 and 4,656.38 is: 6,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.38 : 11,567.70 = 4,656.38 : x
  2. Step 2: Convert to fraction form
    8,382.38/11,567.70 = 4,656.38/x
  3. Step 3: Cross multiply
    8,382.38x = 11,567.70 × 4,656.38
  4. Step 4: Simplify right side
    8,382.38x = 53,863,549.09
  5. Step 5: Solve for x
    x = 53,863,549.09/8,382.38
  6. Step 6: Final answer
    x = 6,425.81

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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.